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Finding the Third Proportional to 16,974,347,121 and 35,707,749,187.50

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Solution

The third proportional to 16,974,347,121 and 35,707,749,187.50 is: 75,115,899,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,974,347,121 : 35,707,749,187.50 = 35,707,749,187.50 : x
  2. Step 2: Convert to fraction form
    16,974,347,121/35,707,749,187.50 = 35,707,749,187.50/x
  3. Step 3: Cross multiply
    16,974,347,121x = 35,707,749,187.50 × 35,707,749,187.50
  4. Step 4: Simplify right side
    16,974,347,121x = 1,275,043,352,037,406,801,920
  5. Step 5: Solve for x
    x = 1,275,043,352,037,406,801,920/16,974,347,121
  6. Step 6: Final answer
    x = 75,115,899,477.51

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.