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Finding the Third Proportional to 2,517,673.50 and 5,433,387.75

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Solution

The third proportional to 2,517,673.50 and 5,433,387.75 is: 11,725,786.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,673.50 : 5,433,387.75 = 5,433,387.75 : x
  2. Step 2: Convert to fraction form
    2,517,673.50/5,433,387.75 = 5,433,387.75/x
  3. Step 3: Cross multiply
    2,517,673.50x = 5,433,387.75 × 5,433,387.75
  4. Step 4: Simplify right side
    2,517,673.50x = 29,521,702,441,850.06
  5. Step 5: Solve for x
    x = 29,521,702,441,850.06/2,517,673.50
  6. Step 6: Final answer
    x = 11,725,786.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.