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Finding the Third Proportional to 30,757,058 and 65,489,668

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Solution

The third proportional to 30,757,058 and 65,489,668 is: 139,444,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,757,058 : 65,489,668 = 65,489,668 : x
  2. Step 2: Convert to fraction form
    30,757,058/65,489,668 = 65,489,668/x
  3. Step 3: Cross multiply
    30,757,058x = 65,489,668 × 65,489,668
  4. Step 4: Simplify right side
    30,757,058x = 4,288,896,614,750,224
  5. Step 5: Solve for x
    x = 4,288,896,614,750,224/30,757,058
  6. Step 6: Final answer
    x = 139,444,306.24

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.