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Finding the Third Proportional to 72,623,765 and 156,724,267

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Solution

The third proportional to 72,623,765 and 156,724,267 is: 338,215,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,623,765 : 156,724,267 = 156,724,267 : x
  2. Step 2: Convert to fraction form
    72,623,765/156,724,267 = 156,724,267/x
  3. Step 3: Cross multiply
    72,623,765x = 156,724,267 × 156,724,267
  4. Step 4: Simplify right side
    72,623,765x = 24,562,495,866,687,288
  5. Step 5: Solve for x
    x = 24,562,495,866,687,288/72,623,765
  6. Step 6: Final answer
    x = 338,215,677.29

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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.