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Finding the Third Proportional to 33,739,432,629 and 70,271,458,252

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Solution

The third proportional to 33,739,432,629 and 70,271,458,252 is: 146,359,243,771.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,739,432,629 : 70,271,458,252 = 70,271,458,252 : x
  2. Step 2: Convert to fraction form
    33,739,432,629/70,271,458,252 = 70,271,458,252/x
  3. Step 3: Cross multiply
    33,739,432,629x = 70,271,458,252 × 70,271,458,252
  4. Step 4: Simplify right side
    33,739,432,629x = 4,938,077,844,862,578,720,768
  5. Step 5: Solve for x
    x = 4,938,077,844,862,578,720,768/33,739,432,629
  6. Step 6: Final answer
    x = 146,359,243,771.58

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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.