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Finding the Third Proportional to 48,379,489,524 and 75,727,114,659

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Solution

The third proportional to 48,379,489,524 and 75,727,114,659 is: 118,533,617,262.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,379,489,524 : 75,727,114,659 = 75,727,114,659 : x
  2. Step 2: Convert to fraction form
    48,379,489,524/75,727,114,659 = 75,727,114,659/x
  3. Step 3: Cross multiply
    48,379,489,524x = 75,727,114,659 × 75,727,114,659
  4. Step 4: Simplify right side
    48,379,489,524x = 5,734,595,894,577,332,224,000
  5. Step 5: Solve for x
    x = 5,734,595,894,577,332,224,000/48,379,489,524
  6. Step 6: Final answer
    x = 118,533,617,262.18

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.