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Finding the Third Proportional to 9,148,044 and 12,195,738

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Solution

The third proportional to 9,148,044 and 12,195,738 is: 16,258,778.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,044 : 12,195,738 = 12,195,738 : x
  2. Step 2: Convert to fraction form
    9,148,044/12,195,738 = 12,195,738/x
  3. Step 3: Cross multiply
    9,148,044x = 12,195,738 × 12,195,738
  4. Step 4: Simplify right side
    9,148,044x = 148,736,025,364,644
  5. Step 5: Solve for x
    x = 148,736,025,364,644/9,148,044
  6. Step 6: Final answer
    x = 16,258,778.97

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.