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Finding the Third Proportional to 5,780,200 and 12,038,593

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Solution

The third proportional to 5,780,200 and 12,038,593 is: 25,073,132.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,200 : 12,038,593 = 12,038,593 : x
  2. Step 2: Convert to fraction form
    5,780,200/12,038,593 = 12,038,593/x
  3. Step 3: Cross multiply
    5,780,200x = 12,038,593 × 12,038,593
  4. Step 4: Simplify right side
    5,780,200x = 144,927,721,419,649
  5. Step 5: Solve for x
    x = 144,927,721,419,649/5,780,200
  6. Step 6: Final answer
    x = 25,073,132.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.