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Finding the Third Proportional to 9,149,344 and 13,457,856

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Solution

The third proportional to 9,149,344 and 13,457,856 is: 19,795,286.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149,344 : 13,457,856 = 13,457,856 : x
  2. Step 2: Convert to fraction form
    9,149,344/13,457,856 = 13,457,856/x
  3. Step 3: Cross multiply
    9,149,344x = 13,457,856 × 13,457,856
  4. Step 4: Simplify right side
    9,149,344x = 181,113,888,116,736
  5. Step 5: Solve for x
    x = 181,113,888,116,736/9,149,344
  6. Step 6: Final answer
    x = 19,795,286.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.