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Finding the Third Proportional to 613,797,890 and 1,315,145,668

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Solution

The third proportional to 613,797,890 and 1,315,145,668 is: 2,817,878,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,797,890 : 1,315,145,668 = 1,315,145,668 : x
  2. Step 2: Convert to fraction form
    613,797,890/1,315,145,668 = 1,315,145,668/x
  3. Step 3: Cross multiply
    613,797,890x = 1,315,145,668 × 1,315,145,668
  4. Step 4: Simplify right side
    613,797,890x = 1,729,608,128,059,166,208
  5. Step 5: Solve for x
    x = 1,729,608,128,059,166,208/613,797,890
  6. Step 6: Final answer
    x = 2,817,878,908.09

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.