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Finding the Third Proportional to 1,418,382,375 and 3,103,956,897.63

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Solution

The third proportional to 1,418,382,375 and 3,103,956,897.63 is: 6,792,631,234.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418,382,375 : 3,103,956,897.63 = 3,103,956,897.63 : x
  2. Step 2: Convert to fraction form
    1,418,382,375/3,103,956,897.63 = 3,103,956,897.63/x
  3. Step 3: Cross multiply
    1,418,382,375x = 3,103,956,897.63 × 3,103,956,897.63
  4. Step 4: Simplify right side
    1,418,382,375x = 9,634,548,422,313,814,016
  5. Step 5: Solve for x
    x = 9,634,548,422,313,814,016/1,418,382,375
  6. Step 6: Final answer
    x = 6,792,631,234.09

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.