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Finding the Third Proportional to 4,364,721.84 and 10,288,863.14

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Solution

The third proportional to 4,364,721.84 and 10,288,863.14 is: 24,253,711.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364,721.84 : 10,288,863.14 = 10,288,863.14 : x
  2. Step 2: Convert to fraction form
    4,364,721.84/10,288,863.14 = 10,288,863.14/x
  3. Step 3: Cross multiply
    4,364,721.84x = 10,288,863.14 × 10,288,863.14
  4. Step 4: Simplify right side
    4,364,721.84x = 105,860,704,726,511.73
  5. Step 5: Solve for x
    x = 105,860,704,726,511.73/4,364,721.84
  6. Step 6: Final answer
    x = 24,253,711.58

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.