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Finding the Third Proportional to 4,190,682,304 and 9,125,382,012

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Solution

The third proportional to 4,190,682,304 and 9,125,382,012 is: 19,870,892,333.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,190,682,304 : 9,125,382,012 = 9,125,382,012 : x
  2. Step 2: Convert to fraction form
    4,190,682,304/9,125,382,012 = 9,125,382,012/x
  3. Step 3: Cross multiply
    4,190,682,304x = 9,125,382,012 × 9,125,382,012
  4. Step 4: Simplify right side
    4,190,682,304x = 83,272,596,864,933,167,104
  5. Step 5: Solve for x
    x = 83,272,596,864,933,167,104/4,190,682,304
  6. Step 6: Final answer
    x = 19,870,892,333.08

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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.