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Finding the Third Proportional to 19,730,998,000.50 and 46,040,586,327

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Solution

The third proportional to 19,730,998,000.50 and 46,040,586,327 is: 107,431,747,207.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730,998,000.50 : 46,040,586,327 = 46,040,586,327 : x
  2. Step 2: Convert to fraction form
    19,730,998,000.50/46,040,586,327 = 46,040,586,327/x
  3. Step 3: Cross multiply
    19,730,998,000.50x = 46,040,586,327 × 46,040,586,327
  4. Step 4: Simplify right side
    19,730,998,000.50x = 2,119,735,589,333,939,257,344
  5. Step 5: Solve for x
    x = 2,119,735,589,333,939,257,344/19,730,998,000.50
  6. Step 6: Final answer
    x = 107,431,747,207.12

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.