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Finding the Third Proportional to 22,457,916 and 49,393,784

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Solution

The third proportional to 22,457,916 and 49,393,784 is: 108,636,344.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457,916 : 49,393,784 = 49,393,784 : x
  2. Step 2: Convert to fraction form
    22,457,916/49,393,784 = 49,393,784/x
  3. Step 3: Cross multiply
    22,457,916x = 49,393,784 × 49,393,784
  4. Step 4: Simplify right side
    22,457,916x = 2,439,745,897,838,656
  5. Step 5: Solve for x
    x = 2,439,745,897,838,656/22,457,916
  6. Step 6: Final answer
    x = 108,636,344.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.