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Finding the Third Proportional to 33,140,694 and 72,017,908

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Solution

The third proportional to 33,140,694 and 72,017,908 is: 156,501,824.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140,694 : 72,017,908 = 72,017,908 : x
  2. Step 2: Convert to fraction form
    33,140,694/72,017,908 = 72,017,908/x
  3. Step 3: Cross multiply
    33,140,694x = 72,017,908 × 72,017,908
  4. Step 4: Simplify right side
    33,140,694x = 5,186,579,072,696,464
  5. Step 5: Solve for x
    x = 5,186,579,072,696,464/33,140,694
  6. Step 6: Final answer
    x = 156,501,824.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.