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Finding the Third Proportional to 7,750,321 and 16,685,296.75

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Solution

The third proportional to 7,750,321 and 16,685,296.75 is: 35,920,980.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,321 : 16,685,296.75 = 16,685,296.75 : x
  2. Step 2: Convert to fraction form
    7,750,321/16,685,296.75 = 16,685,296.75/x
  3. Step 3: Cross multiply
    7,750,321x = 16,685,296.75 × 16,685,296.75
  4. Step 4: Simplify right side
    7,750,321x = 278,399,127,635,560.56
  5. Step 5: Solve for x
    x = 278,399,127,635,560.56/7,750,321
  6. Step 6: Final answer
    x = 35,920,980.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.