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Finding the Third Proportional to 13,732,150 and 20,177,834

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Solution

The third proportional to 13,732,150 and 20,177,834 is: 29,649,034.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,732,150 : 20,177,834 = 20,177,834 : x
  2. Step 2: Convert to fraction form
    13,732,150/20,177,834 = 20,177,834/x
  3. Step 3: Cross multiply
    13,732,150x = 20,177,834 × 20,177,834
  4. Step 4: Simplify right side
    13,732,150x = 407,144,984,931,556
  5. Step 5: Solve for x
    x = 407,144,984,931,556/13,732,150
  6. Step 6: Final answer
    x = 29,649,034.20

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.