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Finding the Third Proportional to 3,471,367.01 and 5,194,478.11

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Solution

The third proportional to 3,471,367.01 and 5,194,478.11 is: 7,772,904.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471,367.01 : 5,194,478.11 = 5,194,478.11 : x
  2. Step 2: Convert to fraction form
    3,471,367.01/5,194,478.11 = 5,194,478.11/x
  3. Step 3: Cross multiply
    3,471,367.01x = 5,194,478.11 × 5,194,478.11
  4. Step 4: Simplify right side
    3,471,367.01x = 26,982,602,828,778.16
  5. Step 5: Solve for x
    x = 26,982,602,828,778.16/3,471,367.01
  6. Step 6: Final answer
    x = 7,772,904.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.