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Finding the Third Proportional to 72,707,301 and 156,970,710

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Solution

The third proportional to 72,707,301 and 156,970,710 is: 338,890,365.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,707,301 : 156,970,710 = 156,970,710 : x
  2. Step 2: Convert to fraction form
    72,707,301/156,970,710 = 156,970,710/x
  3. Step 3: Cross multiply
    72,707,301x = 156,970,710 × 156,970,710
  4. Step 4: Simplify right side
    72,707,301x = 24,639,803,797,904,100
  5. Step 5: Solve for x
    x = 24,639,803,797,904,100/72,707,301
  6. Step 6: Final answer
    x = 338,890,365.33

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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.