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Finding the Third Proportional to 67,478,864,768 and 140,542,915,448

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Solution

The third proportional to 67,478,864,768 and 140,542,915,448 is: 292,718,485,269.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478,864,768 : 140,542,915,448 = 140,542,915,448 : x
  2. Step 2: Convert to fraction form
    67,478,864,768/140,542,915,448 = 140,542,915,448/x
  3. Step 3: Cross multiply
    67,478,864,768x = 140,542,915,448 × 140,542,915,448
  4. Step 4: Simplify right side
    67,478,864,768x = 19,752,311,082,623,678,021,632
  5. Step 5: Solve for x
    x = 19,752,311,082,623,678,021,632/67,478,864,768
  6. Step 6: Final answer
    x = 292,718,485,269.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.