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Finding the Third Proportional to 4,687,785.75 and 7,044,160.13

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Solution

The third proportional to 4,687,785.75 and 7,044,160.13 is: 10,584,995.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687,785.75 : 7,044,160.13 = 7,044,160.13 : x
  2. Step 2: Convert to fraction form
    4,687,785.75/7,044,160.13 = 7,044,160.13/x
  3. Step 3: Cross multiply
    4,687,785.75x = 7,044,160.13 × 7,044,160.13
  4. Step 4: Simplify right side
    4,687,785.75x = 49,620,191,866,640.02
  5. Step 5: Solve for x
    x = 49,620,191,866,640.02/4,687,785.75
  6. Step 6: Final answer
    x = 10,584,995.67

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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.