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Finding the Third Proportional to 7,942,842.50 and 17,145,397

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Solution

The third proportional to 7,942,842.50 and 17,145,397 is: 37,010,004.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,942,842.50 : 17,145,397 = 17,145,397 : x
  2. Step 2: Convert to fraction form
    7,942,842.50/17,145,397 = 17,145,397/x
  3. Step 3: Cross multiply
    7,942,842.50x = 17,145,397 × 17,145,397
  4. Step 4: Simplify right side
    7,942,842.50x = 293,964,638,287,609
  5. Step 5: Solve for x
    x = 293,964,638,287,609/7,942,842.50
  6. Step 6: Final answer
    x = 37,010,004.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.