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Finding the Third Proportional to 69,474,844 and 102,191,478

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Solution

The third proportional to 69,474,844 and 102,191,478 is: 150,314,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,474,844 : 102,191,478 = 102,191,478 : x
  2. Step 2: Convert to fraction form
    69,474,844/102,191,478 = 102,191,478/x
  3. Step 3: Cross multiply
    69,474,844x = 102,191,478 × 102,191,478
  4. Step 4: Simplify right side
    69,474,844x = 10,443,098,175,824,484
  5. Step 5: Solve for x
    x = 10,443,098,175,824,484/69,474,844
  6. Step 6: Final answer
    x = 150,314,812.88

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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.