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Finding the Third Proportional to 65,971,539 and 86,753,838

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Solution

The third proportional to 65,971,539 and 86,753,838 is: 114,082,959.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971,539 : 86,753,838 = 86,753,838 : x
  2. Step 2: Convert to fraction form
    65,971,539/86,753,838 = 86,753,838/x
  3. Step 3: Cross multiply
    65,971,539x = 86,753,838 × 86,753,838
  4. Step 4: Simplify right side
    65,971,539x = 7,526,228,407,730,244
  5. Step 5: Solve for x
    x = 7,526,228,407,730,244/65,971,539
  6. Step 6: Final answer
    x = 114,082,959.44

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.