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Finding the Third Proportional to 7,874,031 and 16,376,622

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Solution

The third proportional to 7,874,031 and 16,376,622 is: 34,060,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874,031 : 16,376,622 = 16,376,622 : x
  2. Step 2: Convert to fraction form
    7,874,031/16,376,622 = 16,376,622/x
  3. Step 3: Cross multiply
    7,874,031x = 16,376,622 × 16,376,622
  4. Step 4: Simplify right side
    7,874,031x = 268,193,748,130,884
  5. Step 5: Solve for x
    x = 268,193,748,130,884/7,874,031
  6. Step 6: Final answer
    x = 34,060,540.04

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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.