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Finding the Third Proportional to 3,650,127.50 and 8,449,809.50

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Solution

The third proportional to 3,650,127.50 and 8,449,809.50 is: 19,560,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650,127.50 : 8,449,809.50 = 8,449,809.50 : x
  2. Step 2: Convert to fraction form
    3,650,127.50/8,449,809.50 = 8,449,809.50/x
  3. Step 3: Cross multiply
    3,650,127.50x = 8,449,809.50 × 8,449,809.50
  4. Step 4: Simplify right side
    3,650,127.50x = 71,399,280,586,290.25
  5. Step 5: Solve for x
    x = 71,399,280,586,290.25/3,650,127.50
  6. Step 6: Final answer
    x = 19,560,763.45

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.