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Finding the Third Proportional to 16,169,022,876 and 35,185,210,200

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Solution

The third proportional to 16,169,022,876 and 35,185,210,200 is: 76,566,099,653.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,169,022,876 : 35,185,210,200 = 35,185,210,200 : x
  2. Step 2: Convert to fraction form
    16,169,022,876/35,185,210,200 = 35,185,210,200/x
  3. Step 3: Cross multiply
    16,169,022,876x = 35,185,210,200 × 35,185,210,200
  4. Step 4: Simplify right side
    16,169,022,876x = 1,237,999,016,818,184,028,160
  5. Step 5: Solve for x
    x = 1,237,999,016,818,184,028,160/16,169,022,876
  6. Step 6: Final answer
    x = 76,566,099,653.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.