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Finding the Third Proportional to 65,473,170 and 91,035,211

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Solution

The third proportional to 65,473,170 and 91,035,211 is: 126,577,186.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,473,170 : 91,035,211 = 91,035,211 : x
  2. Step 2: Convert to fraction form
    65,473,170/91,035,211 = 91,035,211/x
  3. Step 3: Cross multiply
    65,473,170x = 91,035,211 × 91,035,211
  4. Step 4: Simplify right side
    65,473,170x = 8,287,409,641,814,521
  5. Step 5: Solve for x
    x = 8,287,409,641,814,521/65,473,170
  6. Step 6: Final answer
    x = 126,577,186.38

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.