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Finding the Third Proportional to 7,868,586 and 12,511,791

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Solution

The third proportional to 7,868,586 and 12,511,791 is: 19,894,923.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,868,586 : 12,511,791 = 12,511,791 : x
  2. Step 2: Convert to fraction form
    7,868,586/12,511,791 = 12,511,791/x
  3. Step 3: Cross multiply
    7,868,586x = 12,511,791 × 12,511,791
  4. Step 4: Simplify right side
    7,868,586x = 156,544,914,027,681
  5. Step 5: Solve for x
    x = 156,544,914,027,681/7,868,586
  6. Step 6: Final answer
    x = 19,894,923.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.