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Finding the Third Proportional to 66,405,083,270 and 143,391,509,980

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Solution

The third proportional to 66,405,083,270 and 143,391,509,980 is: 309,631,795,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,405,083,270 : 143,391,509,980 = 143,391,509,980 : x
  2. Step 2: Convert to fraction form
    66,405,083,270/143,391,509,980 = 143,391,509,980/x
  3. Step 3: Cross multiply
    66,405,083,270x = 143,391,509,980 × 143,391,509,980
  4. Step 4: Simplify right side
    66,405,083,270x = 20,561,125,134,344,441,036,800
  5. Step 5: Solve for x
    x = 20,561,125,134,344,441,036,800/66,405,083,270
  6. Step 6: Final answer
    x = 309,631,795,065.20

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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.