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Finding the Third Proportional to 29,541,356 and 47,464,738

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Solution

The third proportional to 29,541,356 and 47,464,738 is: 76,262,624.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,541,356 : 47,464,738 = 47,464,738 : x
  2. Step 2: Convert to fraction form
    29,541,356/47,464,738 = 47,464,738/x
  3. Step 3: Cross multiply
    29,541,356x = 47,464,738 × 47,464,738
  4. Step 4: Simplify right side
    29,541,356x = 2,252,901,353,408,644
  5. Step 5: Solve for x
    x = 2,252,901,353,408,644/29,541,356
  6. Step 6: Final answer
    x = 76,262,624.96

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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.