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Finding the Third Proportional to 66,405,083,271.75 and 143,391,509,982

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Solution

The third proportional to 66,405,083,271.75 and 143,391,509,982 is: 309,631,795,065.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,405,083,271.75 : 143,391,509,982 = 143,391,509,982 : x
  2. Step 2: Convert to fraction form
    66,405,083,271.75/143,391,509,982 = 143,391,509,982/x
  3. Step 3: Cross multiply
    66,405,083,271.75x = 143,391,509,982 × 143,391,509,982
  4. Step 4: Simplify right side
    66,405,083,271.75x = 20,561,125,134,918,003,720,192
  5. Step 5: Solve for x
    x = 20,561,125,134,918,003,720,192/66,405,083,271.75
  6. Step 6: Final answer
    x = 309,631,795,065.68

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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.