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Finding the Third Proportional to 16,021,241 and 34,431,211

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Solution

The third proportional to 16,021,241 and 34,431,211 is: 73,996,033.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,021,241 : 34,431,211 = 34,431,211 : x
  2. Step 2: Convert to fraction form
    16,021,241/34,431,211 = 34,431,211/x
  3. Step 3: Cross multiply
    16,021,241x = 34,431,211 × 34,431,211
  4. Step 4: Simplify right side
    16,021,241x = 1,185,508,290,926,521
  5. Step 5: Solve for x
    x = 1,185,508,290,926,521/16,021,241
  6. Step 6: Final answer
    x = 73,996,033.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.