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Finding the Third Proportional to 234,142,702 and 520,636,016

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Solution

The third proportional to 234,142,702 and 520,636,016 is: 1,157,678,026.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,142,702 : 520,636,016 = 520,636,016 : x
  2. Step 2: Convert to fraction form
    234,142,702/520,636,016 = 520,636,016/x
  3. Step 3: Cross multiply
    234,142,702x = 520,636,016 × 520,636,016
  4. Step 4: Simplify right side
    234,142,702x = 271,061,861,156,352,256
  5. Step 5: Solve for x
    x = 271,061,861,156,352,256/234,142,702
  6. Step 6: Final answer
    x = 1,157,678,026.44

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