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Finding the Third Proportional to 8,458,614 and 12,690,513

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Solution

The third proportional to 8,458,614 and 12,690,513 is: 19,039,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,458,614 : 12,690,513 = 12,690,513 : x
  2. Step 2: Convert to fraction form
    8,458,614/12,690,513 = 12,690,513/x
  3. Step 3: Cross multiply
    8,458,614x = 12,690,513 × 12,690,513
  4. Step 4: Simplify right side
    8,458,614x = 161,049,120,203,169
  5. Step 5: Solve for x
    x = 161,049,120,203,169/8,458,614
  6. Step 6: Final answer
    x = 19,039,658.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.