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Finding the Third Proportional to 10,052,511 and 21,948,510

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Solution

The third proportional to 10,052,511 and 21,948,510 is: 47,922,065.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,052,511 : 21,948,510 = 21,948,510 : x
  2. Step 2: Convert to fraction form
    10,052,511/21,948,510 = 21,948,510/x
  3. Step 3: Cross multiply
    10,052,511x = 21,948,510 × 21,948,510
  4. Step 4: Simplify right side
    10,052,511x = 481,737,091,220,100
  5. Step 5: Solve for x
    x = 481,737,091,220,100/10,052,511
  6. Step 6: Final answer
    x = 47,922,065.56

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.