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Finding the Third Proportional to 6,373,734 and 14,931,231

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Solution

The third proportional to 6,373,734 and 14,931,231 is: 34,978,186.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,373,734 : 14,931,231 = 14,931,231 : x
  2. Step 2: Convert to fraction form
    6,373,734/14,931,231 = 14,931,231/x
  3. Step 3: Cross multiply
    6,373,734x = 14,931,231 × 14,931,231
  4. Step 4: Simplify right side
    6,373,734x = 222,941,659,175,361
  5. Step 5: Solve for x
    x = 222,941,659,175,361/6,373,734
  6. Step 6: Final answer
    x = 34,978,186.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.