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Finding the Third Proportional to 10,270,086 and 15,894,018

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Solution

The third proportional to 10,270,086 and 15,894,018 is: 24,597,633.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270,086 : 15,894,018 = 15,894,018 : x
  2. Step 2: Convert to fraction form
    10,270,086/15,894,018 = 15,894,018/x
  3. Step 3: Cross multiply
    10,270,086x = 15,894,018 × 15,894,018
  4. Step 4: Simplify right side
    10,270,086x = 252,619,808,184,324
  5. Step 5: Solve for x
    x = 252,619,808,184,324/10,270,086
  6. Step 6: Final answer
    x = 24,597,633.18

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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.