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Finding the Third Proportional to 6,711,564 and 14,542,872

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Solution

The third proportional to 6,711,564 and 14,542,872 is: 31,512,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711,564 : 14,542,872 = 14,542,872 : x
  2. Step 2: Convert to fraction form
    6,711,564/14,542,872 = 14,542,872/x
  3. Step 3: Cross multiply
    6,711,564x = 14,542,872 × 14,542,872
  4. Step 4: Simplify right side
    6,711,564x = 211,495,126,008,384
  5. Step 5: Solve for x
    x = 211,495,126,008,384/6,711,564
  6. Step 6: Final answer
    x = 31,512,047.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.