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Finding the Third Proportional to 613,661,317 and 1,342,111,702

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Solution

The third proportional to 613,661,317 and 1,342,111,702 is: 2,935,273,530.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,661,317 : 1,342,111,702 = 1,342,111,702 : x
  2. Step 2: Convert to fraction form
    613,661,317/1,342,111,702 = 1,342,111,702/x
  3. Step 3: Cross multiply
    613,661,317x = 1,342,111,702 × 1,342,111,702
  4. Step 4: Simplify right side
    613,661,317x = 1,801,263,820,645,336,832
  5. Step 5: Solve for x
    x = 1,801,263,820,645,336,832/613,661,317
  6. Step 6: Final answer
    x = 2,935,273,530.77

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.