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Finding the Third Proportional to 2,932,324.50 and 5,169,142.50

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Solution

The third proportional to 2,932,324.50 and 5,169,142.50 is: 9,112,236.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,932,324.50 : 5,169,142.50 = 5,169,142.50 : x
  2. Step 2: Convert to fraction form
    2,932,324.50/5,169,142.50 = 5,169,142.50/x
  3. Step 3: Cross multiply
    2,932,324.50x = 5,169,142.50 × 5,169,142.50
  4. Step 4: Simplify right side
    2,932,324.50x = 26,720,034,185,306.25
  5. Step 5: Solve for x
    x = 26,720,034,185,306.25/2,932,324.50
  6. Step 6: Final answer
    x = 9,112,236.45

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These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.