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Finding the Third Proportional to 9,983,304 and 20,439,720

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Solution

The third proportional to 9,983,304 and 20,439,720 is: 41,848,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,983,304 : 20,439,720 = 20,439,720 : x
  2. Step 2: Convert to fraction form
    9,983,304/20,439,720 = 20,439,720/x
  3. Step 3: Cross multiply
    9,983,304x = 20,439,720 × 20,439,720
  4. Step 4: Simplify right side
    9,983,304x = 417,782,153,678,400
  5. Step 5: Solve for x
    x = 417,782,153,678,400/9,983,304
  6. Step 6: Final answer
    x = 41,848,084.93

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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.