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Finding the Third Proportional to 7,750,782 and 18,103,570.03

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Solution

The third proportional to 7,750,782 and 18,103,570.03 is: 42,284,668.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750,782 : 18,103,570.03 = 18,103,570.03 : x
  2. Step 2: Convert to fraction form
    7,750,782/18,103,570.03 = 18,103,570.03/x
  3. Step 3: Cross multiply
    7,750,782x = 18,103,570.03 × 18,103,570.03
  4. Step 4: Simplify right side
    7,750,782x = 327,739,247,876,373.12
  5. Step 5: Solve for x
    x = 327,739,247,876,373.12/7,750,782
  6. Step 6: Final answer
    x = 42,284,668.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.