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Finding the Third Proportional to 13,881,498,718.75 and 21,147,503,092.25

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Solution

The third proportional to 13,881,498,718.75 and 21,147,503,092.25 is: 32,216,758,153.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,881,498,718.75 : 21,147,503,092.25 = 21,147,503,092.25 : x
  2. Step 2: Convert to fraction form
    13,881,498,718.75/21,147,503,092.25 = 21,147,503,092.25/x
  3. Step 3: Cross multiply
    13,881,498,718.75x = 21,147,503,092.25 × 21,147,503,092.25
  4. Step 4: Simplify right side
    13,881,498,718.75x = 447,216,887,036,723,331,072
  5. Step 5: Solve for x
    x = 447,216,887,036,723,331,072/13,881,498,718.75
  6. Step 6: Final answer
    x = 32,216,758,153.98

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.