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Finding the Third Proportional to 9,720,800 and 22,504,448

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Solution

The third proportional to 9,720,800 and 22,504,448 is: 52,099,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,720,800 : 22,504,448 = 22,504,448 : x
  2. Step 2: Convert to fraction form
    9,720,800/22,504,448 = 22,504,448/x
  3. Step 3: Cross multiply
    9,720,800x = 22,504,448 × 22,504,448
  4. Step 4: Simplify right side
    9,720,800x = 506,450,179,784,704
  5. Step 5: Solve for x
    x = 506,450,179,784,704/9,720,800
  6. Step 6: Final answer
    x = 52,099,639.93

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.