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Finding the Third Proportional to 368,616,717 and 791,937,216

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Solution

The third proportional to 368,616,717 and 791,937,216 is: 1,701,400,194.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,616,717 : 791,937,216 = 791,937,216 : x
  2. Step 2: Convert to fraction form
    368,616,717/791,937,216 = 791,937,216/x
  3. Step 3: Cross multiply
    368,616,717x = 791,937,216 × 791,937,216
  4. Step 4: Simplify right side
    368,616,717x = 627,164,554,085,830,656
  5. Step 5: Solve for x
    x = 627,164,554,085,830,656/368,616,717
  6. Step 6: Final answer
    x = 1,701,400,194.73

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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.