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Finding the Third Proportional to 4,386,315 and 9,781,184

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Solution

The third proportional to 4,386,315 and 9,781,184 is: 21,811,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,315 : 9,781,184 = 9,781,184 : x
  2. Step 2: Convert to fraction form
    4,386,315/9,781,184 = 9,781,184/x
  3. Step 3: Cross multiply
    4,386,315x = 9,781,184 × 9,781,184
  4. Step 4: Simplify right side
    4,386,315x = 95,671,560,441,856
  5. Step 5: Solve for x
    x = 95,671,560,441,856/4,386,315
  6. Step 6: Final answer
    x = 21,811,374.80

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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.