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Finding the Third Proportional to 66,111,606 and 142,846,200

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Solution

The third proportional to 66,111,606 and 142,846,200 is: 308,645,305.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,111,606 : 142,846,200 = 142,846,200 : x
  2. Step 2: Convert to fraction form
    66,111,606/142,846,200 = 142,846,200/x
  3. Step 3: Cross multiply
    66,111,606x = 142,846,200 × 142,846,200
  4. Step 4: Simplify right side
    66,111,606x = 20,405,036,854,440,000
  5. Step 5: Solve for x
    x = 20,405,036,854,440,000/66,111,606
  6. Step 6: Final answer
    x = 308,645,305.86

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.