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Finding the Third Proportional to 2,708,754.75 and 5,641,710.75

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Solution

The third proportional to 2,708,754.75 and 5,641,710.75 is: 11,750,380.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,754.75 : 5,641,710.75 = 5,641,710.75 : x
  2. Step 2: Convert to fraction form
    2,708,754.75/5,641,710.75 = 5,641,710.75/x
  3. Step 3: Cross multiply
    2,708,754.75x = 5,641,710.75 × 5,641,710.75
  4. Step 4: Simplify right side
    2,708,754.75x = 31,828,900,186,665.56
  5. Step 5: Solve for x
    x = 31,828,900,186,665.56/2,708,754.75
  6. Step 6: Final answer
    x = 11,750,380.94

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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.