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Finding the Third Proportional to 72,567,746 and 156,679,611

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Solution

The third proportional to 72,567,746 and 156,679,611 is: 338,283,905.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,567,746 : 156,679,611 = 156,679,611 : x
  2. Step 2: Convert to fraction form
    72,567,746/156,679,611 = 156,679,611/x
  3. Step 3: Cross multiply
    72,567,746x = 156,679,611 × 156,679,611
  4. Step 4: Simplify right side
    72,567,746x = 24,548,500,503,111,320
  5. Step 5: Solve for x
    x = 24,548,500,503,111,320/72,567,746
  6. Step 6: Final answer
    x = 338,283,905.13

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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.