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Finding the Third Proportional to 12,496,943.25 and 16,582,016.25

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Solution

The third proportional to 12,496,943.25 and 16,582,016.25 is: 22,002,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,496,943.25 : 16,582,016.25 = 16,582,016.25 : x
  2. Step 2: Convert to fraction form
    12,496,943.25/16,582,016.25 = 16,582,016.25/x
  3. Step 3: Cross multiply
    12,496,943.25x = 16,582,016.25 × 16,582,016.25
  4. Step 4: Simplify right side
    12,496,943.25x = 274,963,262,915,264.06
  5. Step 5: Solve for x
    x = 274,963,262,915,264.06/12,496,943.25
  6. Step 6: Final answer
    x = 22,002,441.51

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.