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Finding the Third Proportional to 132,217,782 and 287,848,524

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Solution

The third proportional to 132,217,782 and 287,848,524 is: 626,668,905.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,217,782 : 287,848,524 = 287,848,524 : x
  2. Step 2: Convert to fraction form
    132,217,782/287,848,524 = 287,848,524/x
  3. Step 3: Cross multiply
    132,217,782x = 287,848,524 × 287,848,524
  4. Step 4: Simplify right side
    132,217,782x = 82,856,772,768,978,576
  5. Step 5: Solve for x
    x = 82,856,772,768,978,576/132,217,782
  6. Step 6: Final answer
    x = 626,668,905.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.