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Finding the Third Proportional to 7,775,532 and 17,276,847

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Solution

The third proportional to 7,775,532 and 17,276,847 is: 38,388,298.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775,532 : 17,276,847 = 17,276,847 : x
  2. Step 2: Convert to fraction form
    7,775,532/17,276,847 = 17,276,847/x
  3. Step 3: Cross multiply
    7,775,532x = 17,276,847 × 17,276,847
  4. Step 4: Simplify right side
    7,775,532x = 298,489,442,261,409
  5. Step 5: Solve for x
    x = 298,489,442,261,409/7,775,532
  6. Step 6: Final answer
    x = 38,388,298.35

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.