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Finding the Third Proportional to 1,740,241,785 and 2,760,131,445

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Solution

The third proportional to 1,740,241,785 and 2,760,131,445 is: 4,377,739,725.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,740,241,785 : 2,760,131,445 = 2,760,131,445 : x
  2. Step 2: Convert to fraction form
    1,740,241,785/2,760,131,445 = 2,760,131,445/x
  3. Step 3: Cross multiply
    1,740,241,785x = 2,760,131,445 × 2,760,131,445
  4. Step 4: Simplify right side
    1,740,241,785x = 7,618,325,593,677,788,160
  5. Step 5: Solve for x
    x = 7,618,325,593,677,788,160/1,740,241,785
  6. Step 6: Final answer
    x = 4,377,739,725.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.