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Finding the Third Proportional to 4,386,416 and 9,781,381

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Solution

The third proportional to 4,386,416 and 9,781,381 is: 21,811,751.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,416 : 9,781,381 = 9,781,381 : x
  2. Step 2: Convert to fraction form
    4,386,416/9,781,381 = 9,781,381/x
  3. Step 3: Cross multiply
    4,386,416x = 9,781,381 × 9,781,381
  4. Step 4: Simplify right side
    4,386,416x = 95,675,414,267,161
  5. Step 5: Solve for x
    x = 95,675,414,267,161/4,386,416
  6. Step 6: Final answer
    x = 21,811,751.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.