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Finding the Third Proportional to 374,163,956 and 816,321,256

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Solution

The third proportional to 374,163,956 and 816,321,256 is: 1,780,984,999.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,163,956 : 816,321,256 = 816,321,256 : x
  2. Step 2: Convert to fraction form
    374,163,956/816,321,256 = 816,321,256/x
  3. Step 3: Cross multiply
    374,163,956x = 816,321,256 × 816,321,256
  4. Step 4: Simplify right side
    374,163,956x = 666,380,392,997,417,472
  5. Step 5: Solve for x
    x = 666,380,392,997,417,472/374,163,956
  6. Step 6: Final answer
    x = 1,780,984,999.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.