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Finding the Third Proportional to 2,340,226.69 and 5,111,155.69

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Solution

The third proportional to 2,340,226.69 and 5,111,155.69 is: 11,162,983.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,340,226.69 : 5,111,155.69 = 5,111,155.69 : x
  2. Step 2: Convert to fraction form
    2,340,226.69/5,111,155.69 = 5,111,155.69/x
  3. Step 3: Cross multiply
    2,340,226.69x = 5,111,155.69 × 5,111,155.69
  4. Step 4: Simplify right side
    2,340,226.69x = 26,123,912,461,863.60
  5. Step 5: Solve for x
    x = 26,123,912,461,863.60/2,340,226.69
  6. Step 6: Final answer
    x = 11,162,983.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.