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Finding the Third Proportional to 1,033,633,901 and 1,588,770,048

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Solution

The third proportional to 1,033,633,901 and 1,588,770,048 is: 2,442,054,447.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033,633,901 : 1,588,770,048 = 1,588,770,048 : x
  2. Step 2: Convert to fraction form
    1,033,633,901/1,588,770,048 = 1,588,770,048/x
  3. Step 3: Cross multiply
    1,033,633,901x = 1,588,770,048 × 1,588,770,048
  4. Step 4: Simplify right side
    1,033,633,901x = 2,524,190,265,421,922,304
  5. Step 5: Solve for x
    x = 2,524,190,265,421,922,304/1,033,633,901
  6. Step 6: Final answer
    x = 2,442,054,447.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.