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Finding the Third Proportional to 45,626,664 and 101,454,432

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Solution

The third proportional to 45,626,664 and 101,454,432 is: 225,591,811.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,626,664 : 101,454,432 = 101,454,432 : x
  2. Step 2: Convert to fraction form
    45,626,664/101,454,432 = 101,454,432/x
  3. Step 3: Cross multiply
    45,626,664x = 101,454,432 × 101,454,432
  4. Step 4: Simplify right side
    45,626,664x = 10,293,001,772,442,624
  5. Step 5: Solve for x
    x = 10,293,001,772,442,624/45,626,664
  6. Step 6: Final answer
    x = 225,591,811.24

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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.