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Finding the Third Proportional to 18,481,723,182 and 40,350,182,076

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Solution

The third proportional to 18,481,723,182 and 40,350,182,076 is: 88,094,447,554.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,481,723,182 : 40,350,182,076 = 40,350,182,076 : x
  2. Step 2: Convert to fraction form
    18,481,723,182/40,350,182,076 = 40,350,182,076/x
  3. Step 3: Cross multiply
    18,481,723,182x = 40,350,182,076 × 40,350,182,076
  4. Step 4: Simplify right side
    18,481,723,182x = 1,628,137,193,566,351,654,912
  5. Step 5: Solve for x
    x = 1,628,137,193,566,351,654,912/18,481,723,182
  6. Step 6: Final answer
    x = 88,094,447,554.11

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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.