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Finding the Third Proportional to 17,769,841,011,299 and 36,039,329,548,166

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Solution

The third proportional to 17,769,841,011,299 and 36,039,329,548,166 is: 73,092,003,099,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,769,841,011,299 : 36,039,329,548,166 = 36,039,329,548,166 : x
  2. Step 2: Convert to fraction form
    17,769,841,011,299/36,039,329,548,166 = 36,039,329,548,166/x
  3. Step 3: Cross multiply
    17,769,841,011,299x = 36,039,329,548,166 × 36,039,329,548,166
  4. Step 4: Simplify right side
    17,769,841,011,299x = 1,298,833,274,281,310,887,994,195,968
  5. Step 5: Solve for x
    x = 1,298,833,274,281,310,887,994,195,968/17,769,841,011,299
  6. Step 6: Final answer
    x = 73,092,003,099,827.64

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.