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Finding the Third Proportional to 9,148,033.13 and 12,195,721.13

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Solution

The third proportional to 9,148,033.13 and 12,195,721.13 is: 16,258,753.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,148,033.13 : 12,195,721.13 = 12,195,721.13 : x
  2. Step 2: Convert to fraction form
    9,148,033.13/12,195,721.13 = 12,195,721.13/x
  3. Step 3: Cross multiply
    9,148,033.13x = 12,195,721.13 × 12,195,721.13
  4. Step 4: Simplify right side
    9,148,033.13x = 148,735,613,758,771.25
  5. Step 5: Solve for x
    x = 148,735,613,758,771.25/9,148,033.13
  6. Step 6: Final answer
    x = 16,258,753.30

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