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Finding the Third Proportional to 5,577,136 and 12,177,680

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Solution

The third proportional to 5,577,136 and 12,177,680 is: 26,589,972.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,577,136 : 12,177,680 = 12,177,680 : x
  2. Step 2: Convert to fraction form
    5,577,136/12,177,680 = 12,177,680/x
  3. Step 3: Cross multiply
    5,577,136x = 12,177,680 × 12,177,680
  4. Step 4: Simplify right side
    5,577,136x = 148,295,890,182,400
  5. Step 5: Solve for x
    x = 148,295,890,182,400/5,577,136
  6. Step 6: Final answer
    x = 26,589,972.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.