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Finding the Third Proportional to 4,725,910 and 10,366,877

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Solution

The third proportional to 4,725,910 and 10,366,877 is: 22,741,046.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,725,910 : 10,366,877 = 10,366,877 : x
  2. Step 2: Convert to fraction form
    4,725,910/10,366,877 = 10,366,877/x
  3. Step 3: Cross multiply
    4,725,910x = 10,366,877 × 10,366,877
  4. Step 4: Simplify right side
    4,725,910x = 107,472,138,733,129
  5. Step 5: Solve for x
    x = 107,472,138,733,129/4,725,910
  6. Step 6: Final answer
    x = 22,741,046.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.