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Finding the Third Proportional to 2,496,099,798,872.80 and 5,367,854,034,174.30

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Solution

The third proportional to 2,496,099,798,872.80 and 5,367,854,034,174.30 is: 11,543,551,642,131.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,496,099,798,872.80 : 5,367,854,034,174.30 = 5,367,854,034,174.30 : x
  2. Step 2: Convert to fraction form
    2,496,099,798,872.80/5,367,854,034,174.30 = 5,367,854,034,174.30/x
  3. Step 3: Cross multiply
    2,496,099,798,872.80x = 5,367,854,034,174.30 × 5,367,854,034,174.30
  4. Step 4: Simplify right side
    2,496,099,798,872.80x = 28,813,856,932,201,304,191,664,128
  5. Step 5: Solve for x
    x = 28,813,856,932,201,304,191,664,128/2,496,099,798,872.80
  6. Step 6: Final answer
    x = 11,543,551,642,131.13

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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.