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Finding the Third Proportional to 9,148,074 and 12,195,774

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Solution

The third proportional to 9,148,074 and 12,195,774 is: 16,258,821.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,074 : 12,195,774 = 12,195,774 : x
  2. Step 2: Convert to fraction form
    9,148,074/12,195,774 = 12,195,774/x
  3. Step 3: Cross multiply
    9,148,074x = 12,195,774 × 12,195,774
  4. Step 4: Simplify right side
    9,148,074x = 148,736,903,459,076
  5. Step 5: Solve for x
    x = 148,736,903,459,076/9,148,074
  6. Step 6: Final answer
    x = 16,258,821.63

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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.