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Finding the Third Proportional to 5,962,527 and 12,869,189

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Solution

The third proportional to 5,962,527 and 12,869,189 is: 27,776,146.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,962,527 : 12,869,189 = 12,869,189 : x
  2. Step 2: Convert to fraction form
    5,962,527/12,869,189 = 12,869,189/x
  3. Step 3: Cross multiply
    5,962,527x = 12,869,189 × 12,869,189
  4. Step 4: Simplify right side
    5,962,527x = 165,616,025,517,721
  5. Step 5: Solve for x
    x = 165,616,025,517,721/5,962,527
  6. Step 6: Final answer
    x = 27,776,146.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.