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Finding the Third Proportional to 5,780,149 and 12,704,382

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Solution

The third proportional to 5,780,149 and 12,704,382 is: 27,923,384.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780,149 : 12,704,382 = 12,704,382 : x
  2. Step 2: Convert to fraction form
    5,780,149/12,704,382 = 12,704,382/x
  3. Step 3: Cross multiply
    5,780,149x = 12,704,382 × 12,704,382
  4. Step 4: Simplify right side
    5,780,149x = 161,401,322,001,924
  5. Step 5: Solve for x
    x = 161,401,322,001,924/5,780,149
  6. Step 6: Final answer
    x = 27,923,384.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.