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Finding the Third Proportional to 9,848,690 and 15,733,496

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Solution

The third proportional to 9,848,690 and 15,733,496 is: 25,134,601.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848,690 : 15,733,496 = 15,733,496 : x
  2. Step 2: Convert to fraction form
    9,848,690/15,733,496 = 15,733,496/x
  3. Step 3: Cross multiply
    9,848,690x = 15,733,496 × 15,733,496
  4. Step 4: Simplify right side
    9,848,690x = 247,542,896,382,016
  5. Step 5: Solve for x
    x = 247,542,896,382,016/9,848,690
  6. Step 6: Final answer
    x = 25,134,601.29

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.