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Finding the Third Proportional to 10,251,672 and 22,549,716

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Solution

The third proportional to 10,251,672 and 22,549,716 is: 49,600,659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,251,672 : 22,549,716 = 22,549,716 : x
  2. Step 2: Convert to fraction form
    10,251,672/22,549,716 = 22,549,716/x
  3. Step 3: Cross multiply
    10,251,672x = 22,549,716 × 22,549,716
  4. Step 4: Simplify right side
    10,251,672x = 508,489,691,680,656
  5. Step 5: Solve for x
    x = 508,489,691,680,656/10,251,672
  6. Step 6: Final answer
    x = 49,600,659.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.