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Finding the Third Proportional to 9,848,745 and 15,733,584

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Solution

The third proportional to 9,848,745 and 15,733,584 is: 25,134,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848,745 : 15,733,584 = 15,733,584 : x
  2. Step 2: Convert to fraction form
    9,848,745/15,733,584 = 15,733,584/x
  3. Step 3: Cross multiply
    9,848,745x = 15,733,584 × 15,733,584
  4. Step 4: Simplify right side
    9,848,745x = 247,545,665,485,056
  5. Step 5: Solve for x
    x = 247,545,665,485,056/9,848,745
  6. Step 6: Final answer
    x = 25,134,742.09

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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.