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Finding the Third Proportional to 54,353,812 and 82,322,332

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Solution

The third proportional to 54,353,812 and 82,322,332 is: 124,682,448.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,353,812 : 82,322,332 = 82,322,332 : x
  2. Step 2: Convert to fraction form
    54,353,812/82,322,332 = 82,322,332/x
  3. Step 3: Cross multiply
    54,353,812x = 82,322,332 × 82,322,332
  4. Step 4: Simplify right side
    54,353,812x = 6,776,966,345,918,224
  5. Step 5: Solve for x
    x = 6,776,966,345,918,224/54,353,812
  6. Step 6: Final answer
    x = 124,682,448.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.