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Finding the Third Proportional to 72,568,774 and 156,681,668

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Solution

The third proportional to 72,568,774 and 156,681,668 is: 338,287,995.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,568,774 : 156,681,668 = 156,681,668 : x
  2. Step 2: Convert to fraction form
    72,568,774/156,681,668 = 156,681,668/x
  3. Step 3: Cross multiply
    72,568,774x = 156,681,668 × 156,681,668
  4. Step 4: Simplify right side
    72,568,774x = 24,549,145,087,262,224
  5. Step 5: Solve for x
    x = 24,549,145,087,262,224/72,568,774
  6. Step 6: Final answer
    x = 338,287,995.43

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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.