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Finding the Third Proportional to 37,172,586 and 77,400,001

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Solution

The third proportional to 37,172,586 and 77,400,001 is: 161,160,704.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,172,586 : 77,400,001 = 77,400,001 : x
  2. Step 2: Convert to fraction form
    37,172,586/77,400,001 = 77,400,001/x
  3. Step 3: Cross multiply
    37,172,586x = 77,400,001 × 77,400,001
  4. Step 4: Simplify right side
    37,172,586x = 5,990,760,154,800,001
  5. Step 5: Solve for x
    x = 5,990,760,154,800,001/37,172,586
  6. Step 6: Final answer
    x = 161,160,704.69

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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.