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Finding the Third Proportional to 66,275,462 and 139,419,063

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Solution

The third proportional to 66,275,462 and 139,419,063 is: 293,286,150.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,275,462 : 139,419,063 = 139,419,063 : x
  2. Step 2: Convert to fraction form
    66,275,462/139,419,063 = 139,419,063/x
  3. Step 3: Cross multiply
    66,275,462x = 139,419,063 × 139,419,063
  4. Step 4: Simplify right side
    66,275,462x = 19,437,675,127,797,968
  5. Step 5: Solve for x
    x = 19,437,675,127,797,968/66,275,462
  6. Step 6: Final answer
    x = 293,286,150.58

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Why These Related Problems?

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