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Finding the Third Proportional to 8,740,470 and 13,711,213.50

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Solution

The third proportional to 8,740,470 and 13,711,213.50 is: 21,508,840.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,740,470 : 13,711,213.50 = 13,711,213.50 : x
  2. Step 2: Convert to fraction form
    8,740,470/13,711,213.50 = 13,711,213.50/x
  3. Step 3: Cross multiply
    8,740,470x = 13,711,213.50 × 13,711,213.50
  4. Step 4: Simplify right side
    8,740,470x = 187,997,375,642,582.25
  5. Step 5: Solve for x
    x = 187,997,375,642,582.25/8,740,470
  6. Step 6: Final answer
    x = 21,508,840.56

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.