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Finding the Third Proportional to 6,514,161.75 and 9,581,581.13

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Solution

The third proportional to 6,514,161.75 and 9,581,581.13 is: 14,093,401.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514,161.75 : 9,581,581.13 = 9,581,581.13 : x
  2. Step 2: Convert to fraction form
    6,514,161.75/9,581,581.13 = 9,581,581.13/x
  3. Step 3: Cross multiply
    6,514,161.75x = 9,581,581.13 × 9,581,581.13
  4. Step 4: Simplify right side
    6,514,161.75x = 91,806,696,854,956.27
  5. Step 5: Solve for x
    x = 91,806,696,854,956.27/6,514,161.75
  6. Step 6: Final answer
    x = 14,093,401.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.