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Finding the Third Proportional to 3,049,716 and 6,413,942

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Solution

The third proportional to 3,049,716 and 6,413,942 is: 13,489,338.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,049,716 : 6,413,942 = 6,413,942 : x
  2. Step 2: Convert to fraction form
    3,049,716/6,413,942 = 6,413,942/x
  3. Step 3: Cross multiply
    3,049,716x = 6,413,942 × 6,413,942
  4. Step 4: Simplify right side
    3,049,716x = 41,138,651,979,364
  5. Step 5: Solve for x
    x = 41,138,651,979,364/3,049,716
  6. Step 6: Final answer
    x = 13,489,338.67

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.