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Finding the Third Proportional to 19,730,998,012 and 46,040,586,355

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Solution

The third proportional to 19,730,998,012 and 46,040,586,355 is: 107,431,747,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730,998,012 : 46,040,586,355 = 46,040,586,355 : x
  2. Step 2: Convert to fraction form
    19,730,998,012/46,040,586,355 = 46,040,586,355/x
  3. Step 3: Cross multiply
    19,730,998,012x = 46,040,586,355 × 46,040,586,355
  4. Step 4: Simplify right side
    19,730,998,012x = 2,119,735,591,912,212,267,008
  5. Step 5: Solve for x
    x = 2,119,735,591,912,212,267,008/19,730,998,012
  6. Step 6: Final answer
    x = 107,431,747,275.18

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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.