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Finding the Third Proportional to 33,272,379,675 and 73,983,988,566

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Solution

The third proportional to 33,272,379,675 and 73,983,988,566 is: 164,509,741,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,272,379,675 : 73,983,988,566 = 73,983,988,566 : x
  2. Step 2: Convert to fraction form
    33,272,379,675/73,983,988,566 = 73,983,988,566/x
  3. Step 3: Cross multiply
    33,272,379,675x = 73,983,988,566 × 73,983,988,566
  4. Step 4: Simplify right side
    33,272,379,675x = 5,473,630,564,134,018,875,392
  5. Step 5: Solve for x
    x = 5,473,630,564,134,018,875,392/33,272,379,675
  6. Step 6: Final answer
    x = 164,509,741,040.46

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.