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Finding the Third Proportional to 72,633,523 and 156,741,320

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Solution

The third proportional to 72,633,523 and 156,741,320 is: 338,243,835.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,633,523 : 156,741,320 = 156,741,320 : x
  2. Step 2: Convert to fraction form
    72,633,523/156,741,320 = 156,741,320/x
  3. Step 3: Cross multiply
    72,633,523x = 156,741,320 × 156,741,320
  4. Step 4: Simplify right side
    72,633,523x = 24,567,841,395,342,400
  5. Step 5: Solve for x
    x = 24,567,841,395,342,400/72,633,523
  6. Step 6: Final answer
    x = 338,243,835.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.