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Finding the Third Proportional to 64,227,771 and 103,416,516

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Solution

The third proportional to 64,227,771 and 103,416,516 is: 166,516,377.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,227,771 : 103,416,516 = 103,416,516 : x
  2. Step 2: Convert to fraction form
    64,227,771/103,416,516 = 103,416,516/x
  3. Step 3: Cross multiply
    64,227,771x = 103,416,516 × 103,416,516
  4. Step 4: Simplify right side
    64,227,771x = 10,694,975,781,578,256
  5. Step 5: Solve for x
    x = 10,694,975,781,578,256/64,227,771
  6. Step 6: Final answer
    x = 166,516,377.81

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.