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Finding the Third Proportional to 40,293,613,696 and 86,247,522,466

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Solution

The third proportional to 40,293,613,696 and 86,247,522,466 is: 184,610,772,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,293,613,696 : 86,247,522,466 = 86,247,522,466 : x
  2. Step 2: Convert to fraction form
    40,293,613,696/86,247,522,466 = 86,247,522,466/x
  3. Step 3: Cross multiply
    40,293,613,696x = 86,247,522,466 × 86,247,522,466
  4. Step 4: Simplify right side
    40,293,613,696x = 7,438,635,131,523,174,498,304
  5. Step 5: Solve for x
    x = 7,438,635,131,523,174,498,304/40,293,613,696
  6. Step 6: Final answer
    x = 184,610,772,010.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.