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Finding the Third Proportional to 6,951,271 and 15,138,317

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Solution

The third proportional to 6,951,271 and 15,138,317 is: 32,967,876.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,951,271 : 15,138,317 = 15,138,317 : x
  2. Step 2: Convert to fraction form
    6,951,271/15,138,317 = 15,138,317/x
  3. Step 3: Cross multiply
    6,951,271x = 15,138,317 × 15,138,317
  4. Step 4: Simplify right side
    6,951,271x = 229,168,641,592,489
  5. Step 5: Solve for x
    x = 229,168,641,592,489/6,951,271
  6. Step 6: Final answer
    x = 32,967,876.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.