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Finding the Third Proportional to 613,797,904 and 1,315,145,696

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Solution

The third proportional to 613,797,904 and 1,315,145,696 is: 2,817,878,963.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,797,904 : 1,315,145,696 = 1,315,145,696 : x
  2. Step 2: Convert to fraction form
    613,797,904/1,315,145,696 = 1,315,145,696/x
  3. Step 3: Cross multiply
    613,797,904x = 1,315,145,696 × 1,315,145,696
  4. Step 4: Simplify right side
    613,797,904x = 1,729,608,201,707,324,416
  5. Step 5: Solve for x
    x = 1,729,608,201,707,324,416/613,797,904
  6. Step 6: Final answer
    x = 2,817,878,963.80

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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.