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Finding the Third Proportional to 1,368,283,718 and 2,987,374,378

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Solution

The third proportional to 1,368,283,718 and 2,987,374,378 is: 6,522,335,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,368,283,718 : 2,987,374,378 = 2,987,374,378 : x
  2. Step 2: Convert to fraction form
    1,368,283,718/2,987,374,378 = 2,987,374,378/x
  3. Step 3: Cross multiply
    1,368,283,718x = 2,987,374,378 × 2,987,374,378
  4. Step 4: Simplify right side
    1,368,283,718x = 8,924,405,674,330,887,168
  5. Step 5: Solve for x
    x = 8,924,405,674,330,887,168/1,368,283,718
  6. Step 6: Final answer
    x = 6,522,335,650.81

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.