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Finding the Third Proportional to 9,790,287.75 and 21,207,703.50

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Solution

The third proportional to 9,790,287.75 and 21,207,703.50 is: 45,940,088.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790,287.75 : 21,207,703.50 = 21,207,703.50 : x
  2. Step 2: Convert to fraction form
    9,790,287.75/21,207,703.50 = 21,207,703.50/x
  3. Step 3: Cross multiply
    9,790,287.75x = 21,207,703.50 × 21,207,703.50
  4. Step 4: Simplify right side
    9,790,287.75x = 449,766,687,743,912.25
  5. Step 5: Solve for x
    x = 449,766,687,743,912.25/9,790,287.75
  6. Step 6: Final answer
    x = 45,940,088.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.