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Finding the Third Proportional to 33,255,364,119 and 68,867,984,797

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Solution

The third proportional to 33,255,364,119 and 68,867,984,797 is: 142,617,573,304.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,255,364,119 : 68,867,984,797 = 68,867,984,797 : x
  2. Step 2: Convert to fraction form
    33,255,364,119/68,867,984,797 = 68,867,984,797/x
  3. Step 3: Cross multiply
    33,255,364,119x = 68,867,984,797 × 68,867,984,797
  4. Step 4: Simplify right side
    33,255,364,119x = 4,742,799,329,999,823,306,752
  5. Step 5: Solve for x
    x = 4,742,799,329,999,823,306,752/33,255,364,119
  6. Step 6: Final answer
    x = 142,617,573,304.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.