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Finding the Third Proportional to 72,567,738 and 156,679,596

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Solution

The third proportional to 72,567,738 and 156,679,596 is: 338,283,877.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,567,738 : 156,679,596 = 156,679,596 : x
  2. Step 2: Convert to fraction form
    72,567,738/156,679,596 = 156,679,596/x
  3. Step 3: Cross multiply
    72,567,738x = 156,679,596 × 156,679,596
  4. Step 4: Simplify right side
    72,567,738x = 24,548,495,802,723,216
  5. Step 5: Solve for x
    x = 24,548,495,802,723,216/72,567,738
  6. Step 6: Final answer
    x = 338,283,877.65

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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.