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Finding the Third Proportional to 6,134,357 and 12,903,306

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Solution

The third proportional to 6,134,357 and 12,903,306 is: 27,141,443.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134,357 : 12,903,306 = 12,903,306 : x
  2. Step 2: Convert to fraction form
    6,134,357/12,903,306 = 12,903,306/x
  3. Step 3: Cross multiply
    6,134,357x = 12,903,306 × 12,903,306
  4. Step 4: Simplify right side
    6,134,357x = 166,495,305,729,636
  5. Step 5: Solve for x
    x = 166,495,305,729,636/6,134,357
  6. Step 6: Final answer
    x = 27,141,443.79

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.