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Finding the Third Proportional to 2,572,416 and 5,587,680

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Solution

The third proportional to 2,572,416 and 5,587,680 is: 12,137,293.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,572,416 : 5,587,680 = 5,587,680 : x
  2. Step 2: Convert to fraction form
    2,572,416/5,587,680 = 5,587,680/x
  3. Step 3: Cross multiply
    2,572,416x = 5,587,680 × 5,587,680
  4. Step 4: Simplify right side
    2,572,416x = 31,222,167,782,400
  5. Step 5: Solve for x
    x = 31,222,167,782,400/2,572,416
  6. Step 6: Final answer
    x = 12,137,293.42

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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.