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Finding the Third Proportional to 19,231,840,812 and 41,774,333,820

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Solution

The third proportional to 19,231,840,812 and 41,774,333,820 is: 90,739,882,009.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,231,840,812 : 41,774,333,820 = 41,774,333,820 : x
  2. Step 2: Convert to fraction form
    19,231,840,812/41,774,333,820 = 41,774,333,820/x
  3. Step 3: Cross multiply
    19,231,840,812x = 41,774,333,820 × 41,774,333,820
  4. Step 4: Simplify right side
    19,231,840,812x = 1,745,094,966,104,795,906,048
  5. Step 5: Solve for x
    x = 1,745,094,966,104,795,906,048/19,231,840,812
  6. Step 6: Final answer
    x = 90,739,882,009.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.