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Finding the Third Proportional to 3,680,838 and 7,540,164

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Solution

The third proportional to 3,680,838 and 7,540,164 is: 15,445,959.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680,838 : 7,540,164 = 7,540,164 : x
  2. Step 2: Convert to fraction form
    3,680,838/7,540,164 = 7,540,164/x
  3. Step 3: Cross multiply
    3,680,838x = 7,540,164 × 7,540,164
  4. Step 4: Simplify right side
    3,680,838x = 56,854,073,146,896
  5. Step 5: Solve for x
    x = 56,854,073,146,896/3,680,838
  6. Step 6: Final answer
    x = 15,445,959.09

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.