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Finding the Third Proportional to 66,751,906 and 138,619,682

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Solution

The third proportional to 66,751,906 and 138,619,682 is: 287,863,184.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,751,906 : 138,619,682 = 138,619,682 : x
  2. Step 2: Convert to fraction form
    66,751,906/138,619,682 = 138,619,682/x
  3. Step 3: Cross multiply
    66,751,906x = 138,619,682 × 138,619,682
  4. Step 4: Simplify right side
    66,751,906x = 19,215,416,237,781,124
  5. Step 5: Solve for x
    x = 19,215,416,237,781,124/66,751,906
  6. Step 6: Final answer
    x = 287,863,184.58

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.