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Finding the Third Proportional to 6,129,757.25 and 13,006,694.50

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Solution

The third proportional to 6,129,757.25 and 13,006,694.50 is: 27,598,825.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,129,757.25 : 13,006,694.50 = 13,006,694.50 : x
  2. Step 2: Convert to fraction form
    6,129,757.25/13,006,694.50 = 13,006,694.50/x
  3. Step 3: Cross multiply
    6,129,757.25x = 13,006,694.50 × 13,006,694.50
  4. Step 4: Simplify right side
    6,129,757.25x = 169,174,101,816,330.25
  5. Step 5: Solve for x
    x = 169,174,101,816,330.25/6,129,757.25
  6. Step 6: Final answer
    x = 27,598,825.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.