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Finding the Third Proportional to 10,522,864 and 22,642,784

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Solution

The third proportional to 10,522,864 and 22,642,784 is: 48,722,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,522,864 : 22,642,784 = 22,642,784 : x
  2. Step 2: Convert to fraction form
    10,522,864/22,642,784 = 22,642,784/x
  3. Step 3: Cross multiply
    10,522,864x = 22,642,784 × 22,642,784
  4. Step 4: Simplify right side
    10,522,864x = 512,695,667,270,656
  5. Step 5: Solve for x
    x = 512,695,667,270,656/10,522,864
  6. Step 6: Final answer
    x = 48,722,065.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.