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Finding the Third Proportional to 19,431,562,800 and 29,854,448,645

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Solution

The third proportional to 19,431,562,800 and 29,854,448,645 is: 45,868,060,797.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,431,562,800 : 29,854,448,645 = 29,854,448,645 : x
  2. Step 2: Convert to fraction form
    19,431,562,800/29,854,448,645 = 29,854,448,645/x
  3. Step 3: Cross multiply
    19,431,562,800x = 29,854,448,645 × 29,854,448,645
  4. Step 4: Simplify right side
    19,431,562,800x = 891,288,103,896,942,379,008
  5. Step 5: Solve for x
    x = 891,288,103,896,942,379,008/19,431,562,800
  6. Step 6: Final answer
    x = 45,868,060,797.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.