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Finding the Third Proportional to 66,761,822 and 140,697,004

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Solution

The third proportional to 66,761,822 and 140,697,004 is: 296,511,484.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,761,822 : 140,697,004 = 140,697,004 : x
  2. Step 2: Convert to fraction form
    66,761,822/140,697,004 = 140,697,004/x
  3. Step 3: Cross multiply
    66,761,822x = 140,697,004 × 140,697,004
  4. Step 4: Simplify right side
    66,761,822x = 19,795,646,934,576,016
  5. Step 5: Solve for x
    x = 19,795,646,934,576,016/66,761,822
  6. Step 6: Final answer
    x = 296,511,484.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.