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Finding the Third Proportional to 72,623,751 and 156,724,239

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Solution

The third proportional to 72,623,751 and 156,724,239 is: 338,215,621.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,623,751 : 156,724,239 = 156,724,239 : x
  2. Step 2: Convert to fraction form
    72,623,751/156,724,239 = 156,724,239/x
  3. Step 3: Cross multiply
    72,623,751x = 156,724,239 × 156,724,239
  4. Step 4: Simplify right side
    72,623,751x = 24,562,487,090,129,120
  5. Step 5: Solve for x
    x = 24,562,487,090,129,120/72,623,751
  6. Step 6: Final answer
    x = 338,215,621.64

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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.