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Finding the Third Proportional to 21,324,928,410 and 46,914,767,914.50

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Solution

The third proportional to 21,324,928,410 and 46,914,767,914.50 is: 103,212,325,319.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324,928,410 : 46,914,767,914.50 = 46,914,767,914.50 : x
  2. Step 2: Convert to fraction form
    21,324,928,410/46,914,767,914.50 = 46,914,767,914.50/x
  3. Step 3: Cross multiply
    21,324,928,410x = 46,914,767,914.50 × 46,914,767,914.50
  4. Step 4: Simplify right side
    21,324,928,410x = 2,200,995,448,471,398,645,760
  5. Step 5: Solve for x
    x = 2,200,995,448,471,398,645,760/21,324,928,410
  6. Step 6: Final answer
    x = 103,212,325,319.66

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.