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Finding the Third Proportional to 18,270,767,438 and 29,072,382,789

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Solution

The third proportional to 18,270,767,438 and 29,072,382,789 is: 46,259,876,269.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,270,767,438 : 29,072,382,789 = 29,072,382,789 : x
  2. Step 2: Convert to fraction form
    18,270,767,438/29,072,382,789 = 29,072,382,789/x
  3. Step 3: Cross multiply
    18,270,767,438x = 29,072,382,789 × 29,072,382,789
  4. Step 4: Simplify right side
    18,270,767,438x = 845,203,441,030,143,410,176
  5. Step 5: Solve for x
    x = 845,203,441,030,143,410,176/18,270,767,438
  6. Step 6: Final answer
    x = 46,259,876,269.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.