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Finding the Third Proportional to 617,341,344,559 and 1,337,265,715,806

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Solution

The third proportional to 617,341,344,559 and 1,337,265,715,806 is: 2,896,743,609,400.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,341,344,559 : 1,337,265,715,806 = 1,337,265,715,806 : x
  2. Step 2: Convert to fraction form
    617,341,344,559/1,337,265,715,806 = 1,337,265,715,806/x
  3. Step 3: Cross multiply
    617,341,344,559x = 1,337,265,715,806 × 1,337,265,715,806
  4. Step 4: Simplify right side
    617,341,344,559x = 1,788,279,594,670,133,679,751,168
  5. Step 5: Solve for x
    x = 1,788,279,594,670,133,679,751,168/617,341,344,559
  6. Step 6: Final answer
    x = 2,896,743,609,400.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.