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Finding the Third Proportional to 3,364,746,874 and 7,321,983,988

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Solution

The third proportional to 3,364,746,874 and 7,321,983,988 is: 15,933,278,647.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,364,746,874 : 7,321,983,988 = 7,321,983,988 : x
  2. Step 2: Convert to fraction form
    3,364,746,874/7,321,983,988 = 7,321,983,988/x
  3. Step 3: Cross multiply
    3,364,746,874x = 7,321,983,988 × 7,321,983,988
  4. Step 4: Simplify right side
    3,364,746,874x = 53,611,449,520,528,384,000
  5. Step 5: Solve for x
    x = 53,611,449,520,528,384,000/3,364,746,874
  6. Step 6: Final answer
    x = 15,933,278,647.14

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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.