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Finding the Third Proportional to 67,027,950 and 144,636,966

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Solution

The third proportional to 67,027,950 and 144,636,966 is: 312,106,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,027,950 : 144,636,966 = 144,636,966 : x
  2. Step 2: Convert to fraction form
    67,027,950/144,636,966 = 144,636,966/x
  3. Step 3: Cross multiply
    67,027,950x = 144,636,966 × 144,636,966
  4. Step 4: Simplify right side
    67,027,950x = 20,919,851,933,685,156
  5. Step 5: Solve for x
    x = 20,919,851,933,685,156/67,027,950
  6. Step 6: Final answer
    x = 312,106,396.42

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.