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Finding the Third Proportional to 184,560,710 and 400,807,834

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Solution

The third proportional to 184,560,710 and 400,807,834 is: 870,428,596.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560,710 : 400,807,834 = 400,807,834 : x
  2. Step 2: Convert to fraction form
    184,560,710/400,807,834 = 400,807,834/x
  3. Step 3: Cross multiply
    184,560,710x = 400,807,834 × 400,807,834
  4. Step 4: Simplify right side
    184,560,710x = 160,646,919,795,771,552
  5. Step 5: Solve for x
    x = 160,646,919,795,771,552/184,560,710
  6. Step 6: Final answer
    x = 870,428,596.62

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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.