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Finding the Third Proportional to 184,713,807 and 401,578,974

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Solution

The third proportional to 184,713,807 and 401,578,974 is: 873,056,946.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,713,807 : 401,578,974 = 401,578,974 : x
  2. Step 2: Convert to fraction form
    184,713,807/401,578,974 = 401,578,974/x
  3. Step 3: Cross multiply
    184,713,807x = 401,578,974 × 401,578,974
  4. Step 4: Simplify right side
    184,713,807x = 161,265,672,358,892,672
  5. Step 5: Solve for x
    x = 161,265,672,358,892,672/184,713,807
  6. Step 6: Final answer
    x = 873,056,946.73

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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.