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Finding the Third Proportional to 2,587,951.13 and 5,443,623.56

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Solution

The third proportional to 2,587,951.13 and 5,443,623.56 is: 11,450,385.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,587,951.13 : 5,443,623.56 = 5,443,623.56 : x
  2. Step 2: Convert to fraction form
    2,587,951.13/5,443,623.56 = 5,443,623.56/x
  3. Step 3: Cross multiply
    2,587,951.13x = 5,443,623.56 × 5,443,623.56
  4. Step 4: Simplify right side
    2,587,951.13x = 29,633,037,490,205.19
  5. Step 5: Solve for x
    x = 29,633,037,490,205.19/2,587,951.13
  6. Step 6: Final answer
    x = 11,450,385.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.