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Finding the Third Proportional to 9,268,084.13 and 19,383,148.13

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Solution

The third proportional to 9,268,084.13 and 19,383,148.13 is: 40,537,658.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268,084.13 : 19,383,148.13 = 19,383,148.13 : x
  2. Step 2: Convert to fraction form
    9,268,084.13/19,383,148.13 = 19,383,148.13/x
  3. Step 3: Cross multiply
    9,268,084.13x = 19,383,148.13 × 19,383,148.13
  4. Step 4: Simplify right side
    9,268,084.13x = 375,706,431,235,691
  5. Step 5: Solve for x
    x = 375,706,431,235,691/9,268,084.13
  6. Step 6: Final answer
    x = 40,537,658.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.