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Finding the Third Proportional to 6,121,887,665 and 9,181,237,176

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Solution

The third proportional to 6,121,887,665 and 9,181,237,176 is: 13,769,464,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,887,665 : 9,181,237,176 = 9,181,237,176 : x
  2. Step 2: Convert to fraction form
    6,121,887,665/9,181,237,176 = 9,181,237,176/x
  3. Step 3: Cross multiply
    6,121,887,665x = 9,181,237,176 × 9,181,237,176
  4. Step 4: Simplify right side
    6,121,887,665x = 84,295,116,081,964,449,792
  5. Step 5: Solve for x
    x = 84,295,116,081,964,449,792/6,121,887,665
  6. Step 6: Final answer
    x = 13,769,464,696.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.