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Finding the Third Proportional to 1,737,712,331,293 and 3,741,001,200,315

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Solution

The third proportional to 1,737,712,331,293 and 3,741,001,200,315 is: 8,053,743,838,224.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737,712,331,293 : 3,741,001,200,315 = 3,741,001,200,315 : x
  2. Step 2: Convert to fraction form
    1,737,712,331,293/3,741,001,200,315 = 3,741,001,200,315/x
  3. Step 3: Cross multiply
    1,737,712,331,293x = 3,741,001,200,315 × 3,741,001,200,315
  4. Step 4: Simplify right side
    1,737,712,331,293x = 13,995,089,980,758,270,326,865,920
  5. Step 5: Solve for x
    x = 13,995,089,980,758,270,326,865,920/1,737,712,331,293
  6. Step 6: Final answer
    x = 8,053,743,838,224.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.