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Finding the Third Proportional to 33,739,438,796 and 70,271,471,016

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Solution

The third proportional to 33,739,438,796 and 70,271,471,016 is: 146,359,270,188.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739,438,796 : 70,271,471,016 = 70,271,471,016 : x
  2. Step 2: Convert to fraction form
    33,739,438,796/70,271,471,016 = 70,271,471,016/x
  3. Step 3: Cross multiply
    33,739,438,796x = 70,271,471,016 × 70,271,471,016
  4. Step 4: Simplify right side
    33,739,438,796x = 4,938,079,638,752,527,908,864
  5. Step 5: Solve for x
    x = 4,938,079,638,752,527,908,864/33,739,438,796
  6. Step 6: Final answer
    x = 146,359,270,188.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.