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Finding the Third Proportional to 69,581,761 and 102,242,675

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Solution

The third proportional to 69,581,761 and 102,242,675 is: 150,234,263.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,581,761 : 102,242,675 = 102,242,675 : x
  2. Step 2: Convert to fraction form
    69,581,761/102,242,675 = 102,242,675/x
  3. Step 3: Cross multiply
    69,581,761x = 102,242,675 × 102,242,675
  4. Step 4: Simplify right side
    69,581,761x = 10,453,564,591,155,624
  5. Step 5: Solve for x
    x = 10,453,564,591,155,624/69,581,761
  6. Step 6: Final answer
    x = 150,234,263.13

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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.