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Finding the Third Proportional to 66,729,844 and 146,214,248

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Solution

The third proportional to 66,729,844 and 146,214,248 is: 320,375,487.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,729,844 : 146,214,248 = 146,214,248 : x
  2. Step 2: Convert to fraction form
    66,729,844/146,214,248 = 146,214,248/x
  3. Step 3: Cross multiply
    66,729,844x = 146,214,248 × 146,214,248
  4. Step 4: Simplify right side
    66,729,844x = 21,378,606,318,205,504
  5. Step 5: Solve for x
    x = 21,378,606,318,205,504/66,729,844
  6. Step 6: Final answer
    x = 320,375,487.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.