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Finding the Third Proportional to 10,219,612 and 22,253,624

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Solution

The third proportional to 10,219,612 and 22,253,624 is: 48,458,178.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,219,612 : 22,253,624 = 22,253,624 : x
  2. Step 2: Convert to fraction form
    10,219,612/22,253,624 = 22,253,624/x
  3. Step 3: Cross multiply
    10,219,612x = 22,253,624 × 22,253,624
  4. Step 4: Simplify right side
    10,219,612x = 495,223,781,133,376
  5. Step 5: Solve for x
    x = 495,223,781,133,376/10,219,612
  6. Step 6: Final answer
    x = 48,458,178.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.