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Finding the Third Proportional to 10,270,080 and 15,894,009

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Solution

The third proportional to 10,270,080 and 15,894,009 is: 24,597,619.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270,080 : 15,894,009 = 15,894,009 : x
  2. Step 2: Convert to fraction form
    10,270,080/15,894,009 = 15,894,009/x
  3. Step 3: Cross multiply
    10,270,080x = 15,894,009 × 15,894,009
  4. Step 4: Simplify right side
    10,270,080x = 252,619,522,092,081
  5. Step 5: Solve for x
    x = 252,619,522,092,081/10,270,080
  6. Step 6: Final answer
    x = 24,597,619.70

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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.