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Finding the Third Proportional to 3,650,233.50 and 8,450,023.50

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Solution

The third proportional to 3,650,233.50 and 8,450,023.50 is: 19,561,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,650,233.50 : 8,450,023.50 = 8,450,023.50 : x
  2. Step 2: Convert to fraction form
    3,650,233.50/8,450,023.50 = 8,450,023.50/x
  3. Step 3: Cross multiply
    3,650,233.50x = 8,450,023.50 × 8,450,023.50
  4. Step 4: Simplify right side
    3,650,233.50x = 71,402,897,150,552.25
  5. Step 5: Solve for x
    x = 71,402,897,150,552.25/3,650,233.50
  6. Step 6: Final answer
    x = 19,561,186.20

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