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Finding the Third Proportional to 184,646,421 and 399,933,685

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Solution

The third proportional to 184,646,421 and 399,933,685 is: 866,233,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,646,421 : 399,933,685 = 399,933,685 : x
  2. Step 2: Convert to fraction form
    184,646,421/399,933,685 = 399,933,685/x
  3. Step 3: Cross multiply
    184,646,421x = 399,933,685 × 399,933,685
  4. Step 4: Simplify right side
    184,646,421x = 159,946,952,397,679,232
  5. Step 5: Solve for x
    x = 159,946,952,397,679,232/184,646,421
  6. Step 6: Final answer
    x = 866,233,699.69

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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.