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Finding the Third Proportional to 4,661,003,304 and 9,986,839,296

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Solution

The third proportional to 4,661,003,304 and 9,986,839,296 is: 21,398,173,873.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,661,003,304 : 9,986,839,296 = 9,986,839,296 : x
  2. Step 2: Convert to fraction form
    4,661,003,304/9,986,839,296 = 9,986,839,296/x
  3. Step 3: Cross multiply
    4,661,003,304x = 9,986,839,296 × 9,986,839,296
  4. Step 4: Simplify right side
    4,661,003,304x = 99,736,959,124,129,775,616
  5. Step 5: Solve for x
    x = 99,736,959,124,129,775,616/4,661,003,304
  6. Step 6: Final answer
    x = 21,398,173,873.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.