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Finding the Third Proportional to 65,524,311 and 142,186,735

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Solution

The third proportional to 65,524,311 and 142,186,735 is: 308,543,001.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,524,311 : 142,186,735 = 142,186,735 : x
  2. Step 2: Convert to fraction form
    65,524,311/142,186,735 = 142,186,735/x
  3. Step 3: Cross multiply
    65,524,311x = 142,186,735 × 142,186,735
  4. Step 4: Simplify right side
    65,524,311x = 20,217,067,609,960,224
  5. Step 5: Solve for x
    x = 20,217,067,609,960,224/65,524,311
  6. Step 6: Final answer
    x = 308,543,001.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.