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Finding the Third Proportional to 16,822,583 and 25,205,890

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Solution

The third proportional to 16,822,583 and 25,205,890 is: 37,766,904.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822,583 : 25,205,890 = 25,205,890 : x
  2. Step 2: Convert to fraction form
    16,822,583/25,205,890 = 25,205,890/x
  3. Step 3: Cross multiply
    16,822,583x = 25,205,890 × 25,205,890
  4. Step 4: Simplify right side
    16,822,583x = 635,336,890,692,100
  5. Step 5: Solve for x
    x = 635,336,890,692,100/16,822,583
  6. Step 6: Final answer
    x = 37,766,904.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.