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Finding the Third Proportional to 3,334,663,842 and 7,100,615,748

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Solution

The third proportional to 3,334,663,842 and 7,100,615,748 is: 15,119,588,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334,663,842 : 7,100,615,748 = 7,100,615,748 : x
  2. Step 2: Convert to fraction form
    3,334,663,842/7,100,615,748 = 7,100,615,748/x
  3. Step 3: Cross multiply
    3,334,663,842x = 7,100,615,748 × 7,100,615,748
  4. Step 4: Simplify right side
    3,334,663,842x = 50,418,744,000,745,603,072
  5. Step 5: Solve for x
    x = 50,418,744,000,745,603,072/3,334,663,842
  6. Step 6: Final answer
    x = 15,119,588,177.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.