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Finding the Third Proportional to 7,727,409 and 16,782,246

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Solution

The third proportional to 7,727,409 and 16,782,246 is: 36,447,375.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,409 : 16,782,246 = 16,782,246 : x
  2. Step 2: Convert to fraction form
    7,727,409/16,782,246 = 16,782,246/x
  3. Step 3: Cross multiply
    7,727,409x = 16,782,246 × 16,782,246
  4. Step 4: Simplify right side
    7,727,409x = 281,643,780,804,516
  5. Step 5: Solve for x
    x = 281,643,780,804,516/7,727,409
  6. Step 6: Final answer
    x = 36,447,375.93

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.