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Finding the Third Proportional to 66,405,083,266.13 and 143,391,509,971.88

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Solution

The third proportional to 66,405,083,266.13 and 143,391,509,971.88 is: 309,631,795,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,405,083,266.13 : 143,391,509,971.88 = 143,391,509,971.88 : x
  2. Step 2: Convert to fraction form
    66,405,083,266.13/143,391,509,971.88 = 143,391,509,971.88/x
  3. Step 3: Cross multiply
    66,405,083,266.13x = 143,391,509,971.88 × 143,391,509,971.88
  4. Step 4: Simplify right side
    66,405,083,266.13x = 20,561,125,132,015,763,456,000
  5. Step 5: Solve for x
    x = 20,561,125,132,015,763,456,000/66,405,083,266.13
  6. Step 6: Final answer
    x = 309,631,795,048.20

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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.