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Finding the Third Proportional to 72,829,764 and 156,021,734

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Solution

The third proportional to 72,829,764 and 156,021,734 is: 334,242,212.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,829,764 : 156,021,734 = 156,021,734 : x
  2. Step 2: Convert to fraction form
    72,829,764/156,021,734 = 156,021,734/x
  3. Step 3: Cross multiply
    72,829,764x = 156,021,734 × 156,021,734
  4. Step 4: Simplify right side
    72,829,764x = 24,342,781,480,366,756
  5. Step 5: Solve for x
    x = 24,342,781,480,366,756/72,829,764
  6. Step 6: Final answer
    x = 334,242,212.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.