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Finding the Third Proportional to 2,564,022.50 and 5,471,228.50

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Solution

The third proportional to 2,564,022.50 and 5,471,228.50 is: 11,674,757.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,564,022.50 : 5,471,228.50 = 5,471,228.50 : x
  2. Step 2: Convert to fraction form
    2,564,022.50/5,471,228.50 = 5,471,228.50/x
  3. Step 3: Cross multiply
    2,564,022.50x = 5,471,228.50 × 5,471,228.50
  4. Step 4: Simplify right side
    2,564,022.50x = 29,934,341,299,212.25
  5. Step 5: Solve for x
    x = 29,934,341,299,212.25/2,564,022.50
  6. Step 6: Final answer
    x = 11,674,757.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.