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Finding the Third Proportional to 16,278,782 and 33,897,237

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Solution

The third proportional to 16,278,782 and 33,897,237 is: 70,584,069.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,278,782 : 33,897,237 = 33,897,237 : x
  2. Step 2: Convert to fraction form
    16,278,782/33,897,237 = 33,897,237/x
  3. Step 3: Cross multiply
    16,278,782x = 33,897,237 × 33,897,237
  4. Step 4: Simplify right side
    16,278,782x = 1,149,022,676,234,169
  5. Step 5: Solve for x
    x = 1,149,022,676,234,169/16,278,782
  6. Step 6: Final answer
    x = 70,584,069.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.