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Finding the Third Proportional to 53,332,226,038 and 77,055,856,737

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Solution

The third proportional to 53,332,226,038 and 77,055,856,737 is: 111,332,406,287.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,332,226,038 : 77,055,856,737 = 77,055,856,737 : x
  2. Step 2: Convert to fraction form
    53,332,226,038/77,055,856,737 = 77,055,856,737/x
  3. Step 3: Cross multiply
    53,332,226,038x = 77,055,856,737 × 77,055,856,737
  4. Step 4: Simplify right side
    53,332,226,038x = 5,937,605,057,473,068,138,496
  5. Step 5: Solve for x
    x = 5,937,605,057,473,068,138,496/53,332,226,038
  6. Step 6: Final answer
    x = 111,332,406,287.38

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.