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Finding the Third Proportional to 72,623,736 and 156,724,208

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Solution

The third proportional to 72,623,736 and 156,724,208 is: 338,215,557.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,623,736 : 156,724,208 = 156,724,208 : x
  2. Step 2: Convert to fraction form
    72,623,736/156,724,208 = 156,724,208/x
  3. Step 3: Cross multiply
    72,623,736x = 156,724,208 × 156,724,208
  4. Step 4: Simplify right side
    72,623,736x = 24,562,477,373,227,264
  5. Step 5: Solve for x
    x = 24,562,477,373,227,264/72,623,736
  6. Step 6: Final answer
    x = 338,215,557.70

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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.