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Finding the Third Proportional to 29,541,360 and 47,464,744

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Solution

The third proportional to 29,541,360 and 47,464,744 is: 76,262,633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541,360 : 47,464,744 = 47,464,744 : x
  2. Step 2: Convert to fraction form
    29,541,360/47,464,744 = 47,464,744/x
  3. Step 3: Cross multiply
    29,541,360x = 47,464,744 × 47,464,744
  4. Step 4: Simplify right side
    29,541,360x = 2,252,901,922,985,536
  5. Step 5: Solve for x
    x = 2,252,901,922,985,536/29,541,360
  6. Step 6: Final answer
    x = 76,262,633.91

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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.