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Finding the Third Proportional to 29,541,357 and 47,464,737

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Solution

The third proportional to 29,541,357 and 47,464,737 is: 76,262,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541,357 : 47,464,737 = 47,464,737 : x
  2. Step 2: Convert to fraction form
    29,541,357/47,464,737 = 47,464,737/x
  3. Step 3: Cross multiply
    29,541,357x = 47,464,737 × 47,464,737
  4. Step 4: Simplify right side
    29,541,357x = 2,252,901,258,479,169
  5. Step 5: Solve for x
    x = 2,252,901,258,479,169/29,541,357
  6. Step 6: Final answer
    x = 76,262,619.16

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.