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Finding the Third Proportional to 5,684,930 and 8,746,966

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Solution

The third proportional to 5,684,930 and 8,746,966 is: 13,458,286.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,684,930 : 8,746,966 = 8,746,966 : x
  2. Step 2: Convert to fraction form
    5,684,930/8,746,966 = 8,746,966/x
  3. Step 3: Cross multiply
    5,684,930x = 8,746,966 × 8,746,966
  4. Step 4: Simplify right side
    5,684,930x = 76,509,414,205,156
  5. Step 5: Solve for x
    x = 76,509,414,205,156/5,684,930
  6. Step 6: Final answer
    x = 13,458,286.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.