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Finding the Third Proportional to 57,635,766 and 126,484,902

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Solution

The third proportional to 57,635,766 and 126,484,902 is: 277,578,169.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,635,766 : 126,484,902 = 126,484,902 : x
  2. Step 2: Convert to fraction form
    57,635,766/126,484,902 = 126,484,902/x
  3. Step 3: Cross multiply
    57,635,766x = 126,484,902 × 126,484,902
  4. Step 4: Simplify right side
    57,635,766x = 15,998,430,433,949,604
  5. Step 5: Solve for x
    x = 15,998,430,433,949,604/57,635,766
  6. Step 6: Final answer
    x = 277,578,169.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.