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Finding the Third Proportional to 4,386,314 and 9,781,182

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Solution

The third proportional to 4,386,314 and 9,781,182 is: 21,811,370.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,314 : 9,781,182 = 9,781,182 : x
  2. Step 2: Convert to fraction form
    4,386,314/9,781,182 = 9,781,182/x
  3. Step 3: Cross multiply
    4,386,314x = 9,781,182 × 9,781,182
  4. Step 4: Simplify right side
    4,386,314x = 95,671,521,317,124
  5. Step 5: Solve for x
    x = 95,671,521,317,124/4,386,314
  6. Step 6: Final answer
    x = 21,811,370.85

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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.