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Finding the Third Proportional to 6,169,416 and 9,605,514

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Solution

The third proportional to 6,169,416 and 9,605,514 is: 14,955,370.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169,416 : 9,605,514 = 9,605,514 : x
  2. Step 2: Convert to fraction form
    6,169,416/9,605,514 = 9,605,514/x
  3. Step 3: Cross multiply
    6,169,416x = 9,605,514 × 9,605,514
  4. Step 4: Simplify right side
    6,169,416x = 92,265,899,204,196
  5. Step 5: Solve for x
    x = 92,265,899,204,196/6,169,416
  6. Step 6: Final answer
    x = 14,955,370.04

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.