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Finding the Third Proportional to 19,993,741,490 and 41,642,353,156

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Solution

The third proportional to 19,993,741,490 and 41,642,353,156 is: 86,731,419,291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,993,741,490 : 41,642,353,156 = 41,642,353,156 : x
  2. Step 2: Convert to fraction form
    19,993,741,490/41,642,353,156 = 41,642,353,156/x
  3. Step 3: Cross multiply
    19,993,741,490x = 41,642,353,156 × 41,642,353,156
  4. Step 4: Simplify right side
    19,993,741,490x = 1,734,085,576,369,023,221,760
  5. Step 5: Solve for x
    x = 1,734,085,576,369,023,221,760/19,993,741,490
  6. Step 6: Final answer
    x = 86,731,419,291.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.