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Finding the Third Proportional to 2,803,832 and 6,138,376

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Solution

The third proportional to 2,803,832 and 6,138,376 is: 13,438,629.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803,832 : 6,138,376 = 6,138,376 : x
  2. Step 2: Convert to fraction form
    2,803,832/6,138,376 = 6,138,376/x
  3. Step 3: Cross multiply
    2,803,832x = 6,138,376 × 6,138,376
  4. Step 4: Simplify right side
    2,803,832x = 37,679,659,917,376
  5. Step 5: Solve for x
    x = 37,679,659,917,376/2,803,832
  6. Step 6: Final answer
    x = 13,438,629.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.