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Finding the Third Proportional to 47,182,896 and 71,207,868

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Solution

The third proportional to 47,182,896 and 71,207,868 is: 107,466,071.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,182,896 : 71,207,868 = 71,207,868 : x
  2. Step 2: Convert to fraction form
    47,182,896/71,207,868 = 71,207,868/x
  3. Step 3: Cross multiply
    47,182,896x = 71,207,868 × 71,207,868
  4. Step 4: Simplify right side
    47,182,896x = 5,070,560,465,105,424
  5. Step 5: Solve for x
    x = 5,070,560,465,105,424/47,182,896
  6. Step 6: Final answer
    x = 107,466,071.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.