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Finding the Third Proportional to 12,578,630 and 26,951,146

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Solution

The third proportional to 12,578,630 and 26,951,146 is: 57,745,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,578,630 : 26,951,146 = 26,951,146 : x
  2. Step 2: Convert to fraction form
    12,578,630/26,951,146 = 26,951,146/x
  3. Step 3: Cross multiply
    12,578,630x = 26,951,146 × 26,951,146
  4. Step 4: Simplify right side
    12,578,630x = 726,364,270,713,316
  5. Step 5: Solve for x
    x = 726,364,270,713,316/12,578,630
  6. Step 6: Final answer
    x = 57,745,896.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.