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Finding the Third Proportional to 62,451,974 and 135,329,321

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Solution

The third proportional to 62,451,974 and 135,329,321 is: 293,249,739.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,451,974 : 135,329,321 = 135,329,321 : x
  2. Step 2: Convert to fraction form
    62,451,974/135,329,321 = 135,329,321/x
  3. Step 3: Cross multiply
    62,451,974x = 135,329,321 × 135,329,321
  4. Step 4: Simplify right side
    62,451,974x = 18,314,025,122,321,040
  5. Step 5: Solve for x
    x = 18,314,025,122,321,040/62,451,974
  6. Step 6: Final answer
    x = 293,249,739.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.