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Finding the Third Proportional to 184,646,432 and 399,933,704

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Solution

The third proportional to 184,646,432 and 399,933,704 is: 866,233,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,646,432 : 399,933,704 = 399,933,704 : x
  2. Step 2: Convert to fraction form
    184,646,432/399,933,704 = 399,933,704/x
  3. Step 3: Cross multiply
    184,646,432x = 399,933,704 × 399,933,704
  4. Step 4: Simplify right side
    184,646,432x = 159,946,967,595,159,616
  5. Step 5: Solve for x
    x = 159,946,967,595,159,616/184,646,432
  6. Step 6: Final answer
    x = 866,233,730.39

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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.