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Finding the Third Proportional to 65,971,536.75 and 86,753,835

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Solution

The third proportional to 65,971,536.75 and 86,753,835 is: 114,082,955.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,971,536.75 : 86,753,835 = 86,753,835 : x
  2. Step 2: Convert to fraction form
    65,971,536.75/86,753,835 = 86,753,835/x
  3. Step 3: Cross multiply
    65,971,536.75x = 86,753,835 × 86,753,835
  4. Step 4: Simplify right side
    65,971,536.75x = 7,526,227,887,207,225
  5. Step 5: Solve for x
    x = 7,526,227,887,207,225/65,971,536.75
  6. Step 6: Final answer
    x = 114,082,955.44

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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.