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Finding the Third Proportional to 57,635,586.50 and 126,484,484

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Solution

The third proportional to 57,635,586.50 and 126,484,484 is: 277,577,199.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,635,586.50 : 126,484,484 = 126,484,484 : x
  2. Step 2: Convert to fraction form
    57,635,586.50/126,484,484 = 126,484,484/x
  3. Step 3: Cross multiply
    57,635,586.50x = 126,484,484 × 126,484,484
  4. Step 4: Simplify right side
    57,635,586.50x = 15,998,324,692,746,256
  5. Step 5: Solve for x
    x = 15,998,324,692,746,256/57,635,586.50
  6. Step 6: Final answer
    x = 277,577,199.51

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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.