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Finding the Third Proportional to 4,687,814.25 and 7,044,203.25

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Solution

The third proportional to 4,687,814.25 and 7,044,203.25 is: 10,585,060.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687,814.25 : 7,044,203.25 = 7,044,203.25 : x
  2. Step 2: Convert to fraction form
    4,687,814.25/7,044,203.25 = 7,044,203.25/x
  3. Step 3: Cross multiply
    4,687,814.25x = 7,044,203.25 × 7,044,203.25
  4. Step 4: Simplify right side
    4,687,814.25x = 49,620,799,427,310.56
  5. Step 5: Solve for x
    x = 49,620,799,427,310.56/4,687,814.25
  6. Step 6: Final answer
    x = 10,585,060.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.