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Finding the Third Proportional to 66,761,824 and 140,697,009

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Solution

The third proportional to 66,761,824 and 140,697,009 is: 296,511,496.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,761,824 : 140,697,009 = 140,697,009 : x
  2. Step 2: Convert to fraction form
    66,761,824/140,697,009 = 140,697,009/x
  3. Step 3: Cross multiply
    66,761,824x = 140,697,009 × 140,697,009
  4. Step 4: Simplify right side
    66,761,824x = 19,795,648,341,546,080
  5. Step 5: Solve for x
    x = 19,795,648,341,546,080/66,761,824
  6. Step 6: Final answer
    x = 296,511,496.47

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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.