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Finding the Third Proportional to 4,386,380 and 9,781,314

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Solution

The third proportional to 4,386,380 and 9,781,314 is: 21,811,631.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386,380 : 9,781,314 = 9,781,314 : x
  2. Step 2: Convert to fraction form
    4,386,380/9,781,314 = 9,781,314/x
  3. Step 3: Cross multiply
    4,386,380x = 9,781,314 × 9,781,314
  4. Step 4: Simplify right side
    4,386,380x = 95,674,103,566,596
  5. Step 5: Solve for x
    x = 95,674,103,566,596/4,386,380
  6. Step 6: Final answer
    x = 21,811,631.36

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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.