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Finding the Third Proportional to 10,242,364 and 15,858,214

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Solution

The third proportional to 10,242,364 and 15,858,214 is: 24,553,213.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,242,364 : 15,858,214 = 15,858,214 : x
  2. Step 2: Convert to fraction form
    10,242,364/15,858,214 = 15,858,214/x
  3. Step 3: Cross multiply
    10,242,364x = 15,858,214 × 15,858,214
  4. Step 4: Simplify right side
    10,242,364x = 251,482,951,269,796
  5. Step 5: Solve for x
    x = 251,482,951,269,796/10,242,364
  6. Step 6: Final answer
    x = 24,553,213.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.