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Finding the Third Proportional to 9,982,320 and 20,437,518

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Solution

The third proportional to 9,982,320 and 20,437,518 is: 41,843,192.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982,320 : 20,437,518 = 20,437,518 : x
  2. Step 2: Convert to fraction form
    9,982,320/20,437,518 = 20,437,518/x
  3. Step 3: Cross multiply
    9,982,320x = 20,437,518 × 20,437,518
  4. Step 4: Simplify right side
    9,982,320x = 417,692,142,000,324
  5. Step 5: Solve for x
    x = 417,692,142,000,324/9,982,320
  6. Step 6: Final answer
    x = 41,843,192.97

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.