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Finding the Third Proportional to 9,144,800 and 20,454,784

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Solution

The third proportional to 9,144,800 and 20,454,784 is: 45,752,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144,800 : 20,454,784 = 20,454,784 : x
  2. Step 2: Convert to fraction form
    9,144,800/20,454,784 = 20,454,784/x
  3. Step 3: Cross multiply
    9,144,800x = 20,454,784 × 20,454,784
  4. Step 4: Simplify right side
    9,144,800x = 418,398,188,486,656
  5. Step 5: Solve for x
    x = 418,398,188,486,656/9,144,800
  6. Step 6: Final answer
    x = 45,752,579.44

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.