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Finding the Third Proportional to 31,726,952,406 and 47,998,480,689

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Solution

The third proportional to 31,726,952,406 and 47,998,480,689 is: 72,615,047,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,726,952,406 : 47,998,480,689 = 47,998,480,689 : x
  2. Step 2: Convert to fraction form
    31,726,952,406/47,998,480,689 = 47,998,480,689/x
  3. Step 3: Cross multiply
    31,726,952,406x = 47,998,480,689 × 47,998,480,689
  4. Step 4: Simplify right side
    31,726,952,406x = 2,303,854,148,452,305,862,656
  5. Step 5: Solve for x
    x = 2,303,854,148,452,305,862,656/31,726,952,406
  6. Step 6: Final answer
    x = 72,615,047,262.36

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.