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Finding the Third Proportional to 18,851,126,976 and 41,011,949,178

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Solution

The third proportional to 18,851,126,976 and 41,011,949,178 is: 89,224,372,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,851,126,976 : 41,011,949,178 = 41,011,949,178 : x
  2. Step 2: Convert to fraction form
    18,851,126,976/41,011,949,178 = 41,011,949,178/x
  3. Step 3: Cross multiply
    18,851,126,976x = 41,011,949,178 × 41,011,949,178
  4. Step 4: Simplify right side
    18,851,126,976x = 1,681,979,975,378,855,002,112
  5. Step 5: Solve for x
    x = 1,681,979,975,378,855,002,112/18,851,126,976
  6. Step 6: Final answer
    x = 89,224,372,501.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.