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Finding the Third Proportional to 2,752,080.75 and 6,217,641.75

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Solution

The third proportional to 2,752,080.75 and 6,217,641.75 is: 14,047,214.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752,080.75 : 6,217,641.75 = 6,217,641.75 : x
  2. Step 2: Convert to fraction form
    2,752,080.75/6,217,641.75 = 6,217,641.75/x
  3. Step 3: Cross multiply
    2,752,080.75x = 6,217,641.75 × 6,217,641.75
  4. Step 4: Simplify right side
    2,752,080.75x = 38,659,068,931,343.06
  5. Step 5: Solve for x
    x = 38,659,068,931,343.06/2,752,080.75
  6. Step 6: Final answer
    x = 14,047,214.61

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.