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Finding the Third Proportional to 3,675,033 and 5,387,917.50

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Solution

The third proportional to 3,675,033 and 5,387,917.50 is: 7,899,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,675,033 : 5,387,917.50 = 5,387,917.50 : x
  2. Step 2: Convert to fraction form
    3,675,033/5,387,917.50 = 5,387,917.50/x
  3. Step 3: Cross multiply
    3,675,033x = 5,387,917.50 × 5,387,917.50
  4. Step 4: Simplify right side
    3,675,033x = 29,029,654,986,806.25
  5. Step 5: Solve for x
    x = 29,029,654,986,806.25/3,675,033
  6. Step 6: Final answer
    x = 7,899,154.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.