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Finding the Third Proportional to 40,293,613,523 and 86,247,522,106

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Solution

The third proportional to 40,293,613,523 and 86,247,522,106 is: 184,610,771,262.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,293,613,523 : 86,247,522,106 = 86,247,522,106 : x
  2. Step 2: Convert to fraction form
    40,293,613,523/86,247,522,106 = 86,247,522,106/x
  3. Step 3: Cross multiply
    40,293,613,523x = 86,247,522,106 × 86,247,522,106
  4. Step 4: Simplify right side
    40,293,613,523x = 7,438,635,069,424,958,177,280
  5. Step 5: Solve for x
    x = 7,438,635,069,424,958,177,280/40,293,613,523
  6. Step 6: Final answer
    x = 184,610,771,262.27

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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.