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Finding the Third Proportional to 33,739,432,384 and 70,271,457,724

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Solution

The third proportional to 33,739,432,384 and 70,271,457,724 is: 146,359,242,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739,432,384 : 70,271,457,724 = 70,271,457,724 : x
  2. Step 2: Convert to fraction form
    33,739,432,384/70,271,457,724 = 70,271,457,724/x
  3. Step 3: Cross multiply
    33,739,432,384x = 70,271,457,724 × 70,271,457,724
  4. Step 4: Simplify right side
    33,739,432,384x = 4,938,077,770,655,919,505,408
  5. Step 5: Solve for x
    x = 4,938,077,770,655,919,505,408/33,739,432,384
  6. Step 6: Final answer
    x = 146,359,242,634.97

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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.