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Finding the Third Proportional to 69,452,766 and 102,171,645

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Solution

The third proportional to 69,452,766 and 102,171,645 is: 150,304,237.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,452,766 : 102,171,645 = 102,171,645 : x
  2. Step 2: Convert to fraction form
    69,452,766/102,171,645 = 102,171,645/x
  3. Step 3: Cross multiply
    69,452,766x = 102,171,645 × 102,171,645
  4. Step 4: Simplify right side
    69,452,766x = 10,439,045,042,006,024
  5. Step 5: Solve for x
    x = 10,439,045,042,006,024/69,452,766
  6. Step 6: Final answer
    x = 150,304,237.59

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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.