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Finding the Third Proportional to 2,625,942 and 5,653,596

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Solution

The third proportional to 2,625,942 and 5,653,596 is: 12,172,069.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,625,942 : 5,653,596 = 5,653,596 : x
  2. Step 2: Convert to fraction form
    2,625,942/5,653,596 = 5,653,596/x
  3. Step 3: Cross multiply
    2,625,942x = 5,653,596 × 5,653,596
  4. Step 4: Simplify right side
    2,625,942x = 31,963,147,731,216
  5. Step 5: Solve for x
    x = 31,963,147,731,216/2,625,942
  6. Step 6: Final answer
    x = 12,172,069.20

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.