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Finding the Third Proportional to 20,408,192,001 and 31,686,774,790.50

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Solution

The third proportional to 20,408,192,001 and 31,686,774,790.50 is: 49,198,463,860.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,408,192,001 : 31,686,774,790.50 = 31,686,774,790.50 : x
  2. Step 2: Convert to fraction form
    20,408,192,001/31,686,774,790.50 = 31,686,774,790.50/x
  3. Step 3: Cross multiply
    20,408,192,001x = 31,686,774,790.50 × 31,686,774,790.50
  4. Step 4: Simplify right side
    20,408,192,001x = 1,004,051,696,623,866,347,520
  5. Step 5: Solve for x
    x = 1,004,051,696,623,866,347,520/20,408,192,001
  6. Step 6: Final answer
    x = 49,198,463,860.72

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.