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Finding the Third Proportional to 10,678,689 and 22,114,422

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Solution

The third proportional to 10,678,689 and 22,114,422 is: 45,796,601.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,678,689 : 22,114,422 = 22,114,422 : x
  2. Step 2: Convert to fraction form
    10,678,689/22,114,422 = 22,114,422/x
  3. Step 3: Cross multiply
    10,678,689x = 22,114,422 × 22,114,422
  4. Step 4: Simplify right side
    10,678,689x = 489,047,660,394,084
  5. Step 5: Solve for x
    x = 489,047,660,394,084/10,678,689
  6. Step 6: Final answer
    x = 45,796,601.10

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.