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Finding the Third Proportional to 184,713,806 and 401,578,972

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Solution

The third proportional to 184,713,806 and 401,578,972 is: 873,056,942.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,713,806 : 401,578,972 = 401,578,972 : x
  2. Step 2: Convert to fraction form
    184,713,806/401,578,972 = 401,578,972/x
  3. Step 3: Cross multiply
    184,713,806x = 401,578,972 × 401,578,972
  4. Step 4: Simplify right side
    184,713,806x = 161,265,670,752,576,768
  5. Step 5: Solve for x
    x = 161,265,670,752,576,768/184,713,806
  6. Step 6: Final answer
    x = 873,056,942.76

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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.