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Finding the Third Proportional to 2,168,541.56 and 4,581,217.13

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Solution

The third proportional to 2,168,541.56 and 4,581,217.13 is: 9,678,186.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,168,541.56 : 4,581,217.13 = 4,581,217.13 : x
  2. Step 2: Convert to fraction form
    2,168,541.56/4,581,217.13 = 4,581,217.13/x
  3. Step 3: Cross multiply
    2,168,541.56x = 4,581,217.13 × 4,581,217.13
  4. Step 4: Simplify right side
    2,168,541.56x = 20,987,550,346,393.27
  5. Step 5: Solve for x
    x = 20,987,550,346,393.27/2,168,541.56
  6. Step 6: Final answer
    x = 9,678,186.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.