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Finding the Third Proportional to 12,124,363.50 and 14,366,342.25

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Solution

The third proportional to 12,124,363.50 and 14,366,342.25 is: 17,022,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,124,363.50 : 14,366,342.25 = 14,366,342.25 : x
  2. Step 2: Convert to fraction form
    12,124,363.50/14,366,342.25 = 14,366,342.25/x
  3. Step 3: Cross multiply
    12,124,363.50x = 14,366,342.25 × 14,366,342.25
  4. Step 4: Simplify right side
    12,124,363.50x = 206,391,789,644,135.06
  5. Step 5: Solve for x
    x = 206,391,789,644,135.06/12,124,363.50
  6. Step 6: Final answer
    x = 17,022,896.88

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.