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Finding the Third Proportional to 34,990,996 and 49,253,561

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Solution

The third proportional to 34,990,996 and 49,253,561 is: 69,329,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,990,996 : 49,253,561 = 49,253,561 : x
  2. Step 2: Convert to fraction form
    34,990,996/49,253,561 = 49,253,561/x
  3. Step 3: Cross multiply
    34,990,996x = 49,253,561 × 49,253,561
  4. Step 4: Simplify right side
    34,990,996x = 2,425,913,271,180,721
  5. Step 5: Solve for x
    x = 2,425,913,271,180,721/34,990,996
  6. Step 6: Final answer
    x = 69,329,643.29

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.