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Finding the Third Proportional to 3,613,491.75 and 7,822,386

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Solution

The third proportional to 3,613,491.75 and 7,822,386 is: 16,933,682.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,613,491.75 : 7,822,386 = 7,822,386 : x
  2. Step 2: Convert to fraction form
    3,613,491.75/7,822,386 = 7,822,386/x
  3. Step 3: Cross multiply
    3,613,491.75x = 7,822,386 × 7,822,386
  4. Step 4: Simplify right side
    3,613,491.75x = 61,189,722,732,996
  5. Step 5: Solve for x
    x = 61,189,722,732,996/3,613,491.75
  6. Step 6: Final answer
    x = 16,933,682.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.