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Finding the Third Proportional to 77,534,728,634 and 168,654,348,940

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Solution

The third proportional to 77,534,728,634 and 168,654,348,940 is: 366,858,695,677.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,534,728,634 : 168,654,348,940 = 168,654,348,940 : x
  2. Step 2: Convert to fraction form
    77,534,728,634/168,654,348,940 = 168,654,348,940/x
  3. Step 3: Cross multiply
    77,534,728,634x = 168,654,348,940 × 168,654,348,940
  4. Step 4: Simplify right side
    77,534,728,634x = 28,444,289,416,375,281,123,328
  5. Step 5: Solve for x
    x = 28,444,289,416,375,281,123,328/77,534,728,634
  6. Step 6: Final answer
    x = 366,858,695,677.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.