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Finding the Third Proportional to 2,160,355 and 4,727,366

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Solution

The third proportional to 2,160,355 and 4,727,366 is: 10,344,591.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,160,355 : 4,727,366 = 4,727,366 : x
  2. Step 2: Convert to fraction form
    2,160,355/4,727,366 = 4,727,366/x
  3. Step 3: Cross multiply
    2,160,355x = 4,727,366 × 4,727,366
  4. Step 4: Simplify right side
    2,160,355x = 22,347,989,297,956
  5. Step 5: Solve for x
    x = 22,347,989,297,956/2,160,355
  6. Step 6: Final answer
    x = 10,344,591.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.