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Finding the Third Proportional to 7,675,722.50 and 15,894,901

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Solution

The third proportional to 7,675,722.50 and 15,894,901 is: 32,915,191.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,675,722.50 : 15,894,901 = 15,894,901 : x
  2. Step 2: Convert to fraction form
    7,675,722.50/15,894,901 = 15,894,901/x
  3. Step 3: Cross multiply
    7,675,722.50x = 15,894,901 × 15,894,901
  4. Step 4: Simplify right side
    7,675,722.50x = 252,647,877,799,801
  5. Step 5: Solve for x
    x = 252,647,877,799,801/7,675,722.50
  6. Step 6: Final answer
    x = 32,915,191.74

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.