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Finding the Third Proportional to 234,142,693.66 and 520,635,997.41

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Solution

The third proportional to 234,142,693.66 and 520,635,997.41 is: 1,157,677,984.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,142,693.66 : 520,635,997.41 = 520,635,997.41 : x
  2. Step 2: Convert to fraction form
    234,142,693.66/520,635,997.41 = 520,635,997.41/x
  3. Step 3: Cross multiply
    234,142,693.66x = 520,635,997.41 × 520,635,997.41
  4. Step 4: Simplify right side
    234,142,693.66x = 271,061,841,795,190,336
  5. Step 5: Solve for x
    x = 271,061,841,795,190,336/234,142,693.66
  6. Step 6: Final answer
    x = 1,157,677,984.96

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.