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Finding the Third Proportional to 6,121,887,663 and 9,181,237,173

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Solution

The third proportional to 6,121,887,663 and 9,181,237,173 is: 13,769,464,692.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121,887,663 : 9,181,237,173 = 9,181,237,173 : x
  2. Step 2: Convert to fraction form
    6,121,887,663/9,181,237,173 = 9,181,237,173/x
  3. Step 3: Cross multiply
    6,121,887,663x = 9,181,237,173 × 9,181,237,173
  4. Step 4: Simplify right side
    6,121,887,663x = 84,295,116,026,877,034,496
  5. Step 5: Solve for x
    x = 84,295,116,026,877,034,496/6,121,887,663
  6. Step 6: Final answer
    x = 13,769,464,692.46

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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.