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Finding the Third Proportional to 45,626,680 and 101,454,464

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Solution

The third proportional to 45,626,680 and 101,454,464 is: 225,591,874.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,626,680 : 101,454,464 = 101,454,464 : x
  2. Step 2: Convert to fraction form
    45,626,680/101,454,464 = 101,454,464/x
  3. Step 3: Cross multiply
    45,626,680x = 101,454,464 × 101,454,464
  4. Step 4: Simplify right side
    45,626,680x = 10,293,008,265,527,296
  5. Step 5: Solve for x
    x = 10,293,008,265,527,296/45,626,680
  6. Step 6: Final answer
    x = 225,591,874.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.