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Finding the Third Proportional to 18,753,624,544,251 and 40,622,798,567,598

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Solution

The third proportional to 18,753,624,544,251 and 40,622,798,567,598 is: 87,994,283,962,004.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,753,624,544,251 : 40,622,798,567,598 = 40,622,798,567,598 : x
  2. Step 2: Convert to fraction form
    18,753,624,544,251/40,622,798,567,598 = 40,622,798,567,598/x
  3. Step 3: Cross multiply
    18,753,624,544,251x = 40,622,798,567,598 × 40,622,798,567,598
  4. Step 4: Simplify right side
    18,753,624,544,251x = 1,650,211,763,463,642,191,665,037,312
  5. Step 5: Solve for x
    x = 1,650,211,763,463,642,191,665,037,312/18,753,624,544,251
  6. Step 6: Final answer
    x = 87,994,283,962,004.62

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.