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Finding the Third Proportional to 2,859,363.28 and 6,294,454.31

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Solution

The third proportional to 2,859,363.28 and 6,294,454.31 is: 13,856,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,859,363.28 : 6,294,454.31 = 6,294,454.31 : x
  2. Step 2: Convert to fraction form
    2,859,363.28/6,294,454.31 = 6,294,454.31/x
  3. Step 3: Cross multiply
    2,859,363.28x = 6,294,454.31 × 6,294,454.31
  4. Step 4: Simplify right side
    2,859,363.28x = 39,620,155,092,149.84
  5. Step 5: Solve for x
    x = 39,620,155,092,149.84/2,859,363.28
  6. Step 6: Final answer
    x = 13,856,285.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.