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Finding the Third Proportional to 5,678,103 and 12,314,517

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Solution

The third proportional to 5,678,103 and 12,314,517 is: 26,707,393.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,678,103 : 12,314,517 = 12,314,517 : x
  2. Step 2: Convert to fraction form
    5,678,103/12,314,517 = 12,314,517/x
  3. Step 3: Cross multiply
    5,678,103x = 12,314,517 × 12,314,517
  4. Step 4: Simplify right side
    5,678,103x = 151,647,328,943,289
  5. Step 5: Solve for x
    x = 151,647,328,943,289/5,678,103
  6. Step 6: Final answer
    x = 26,707,393.11

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Why These Related Problems?

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