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Finding the Third Proportional to 3,839,399,764 and 5,733,940,397

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Solution

The third proportional to 3,839,399,764 and 5,733,940,397 is: 8,563,336,588.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,839,399,764 : 5,733,940,397 = 5,733,940,397 : x
  2. Step 2: Convert to fraction form
    3,839,399,764/5,733,940,397 = 5,733,940,397/x
  3. Step 3: Cross multiply
    3,839,399,764x = 5,733,940,397 × 5,733,940,397
  4. Step 4: Simplify right side
    3,839,399,764x = 32,878,072,476,348,518,400
  5. Step 5: Solve for x
    x = 32,878,072,476,348,518,400/3,839,399,764
  6. Step 6: Final answer
    x = 8,563,336,588.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.