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Finding the Third Proportional to 16,822,581 and 25,205,886

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Solution

The third proportional to 16,822,581 and 25,205,886 is: 37,766,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822,581 : 25,205,886 = 25,205,886 : x
  2. Step 2: Convert to fraction form
    16,822,581/25,205,886 = 25,205,886/x
  3. Step 3: Cross multiply
    16,822,581x = 25,205,886 × 25,205,886
  4. Step 4: Simplify right side
    16,822,581x = 635,336,689,044,996
  5. Step 5: Solve for x
    x = 635,336,689,044,996/16,822,581
  6. Step 6: Final answer
    x = 37,766,897.31

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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.