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Finding the Third Proportional to 2,496,099,798,873.90 and 5,367,854,034,175.30

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Solution

The third proportional to 2,496,099,798,873.90 and 5,367,854,034,175.30 is: 11,543,551,642,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496,099,798,873.90 : 5,367,854,034,175.30 = 5,367,854,034,175.30 : x
  2. Step 2: Convert to fraction form
    2,496,099,798,873.90/5,367,854,034,175.30 = 5,367,854,034,175.30/x
  3. Step 3: Cross multiply
    2,496,099,798,873.90x = 5,367,854,034,175.30 × 5,367,854,034,175.30
  4. Step 4: Simplify right side
    2,496,099,798,873.90x = 28,813,856,932,212,041,609,904,128
  5. Step 5: Solve for x
    x = 28,813,856,932,212,041,609,904,128/2,496,099,798,873.90
  6. Step 6: Final answer
    x = 11,543,551,642,130.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.