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Finding the Third Proportional to 19,730,998,008 and 46,040,586,345.75

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Solution

The third proportional to 19,730,998,008 and 46,040,586,345.75 is: 107,431,747,253.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,730,998,008 : 46,040,586,345.75 = 46,040,586,345.75 : x
  2. Step 2: Convert to fraction form
    19,730,998,008/46,040,586,345.75 = 46,040,586,345.75/x
  3. Step 3: Cross multiply
    19,730,998,008x = 46,040,586,345.75 × 46,040,586,345.75
  4. Step 4: Simplify right side
    19,730,998,008x = 2,119,735,591,060,461,322,240
  5. Step 5: Solve for x
    x = 2,119,735,591,060,461,322,240/19,730,998,008
  6. Step 6: Final answer
    x = 107,431,747,253.79

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