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Finding the Third Proportional to 68,064,024 and 149,352,864

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Solution

The third proportional to 68,064,024 and 149,352,864 is: 327,724,937.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,064,024 : 149,352,864 = 149,352,864 : x
  2. Step 2: Convert to fraction form
    68,064,024/149,352,864 = 149,352,864/x
  3. Step 3: Cross multiply
    68,064,024x = 149,352,864 × 149,352,864
  4. Step 4: Simplify right side
    68,064,024x = 22,306,277,985,002,496
  5. Step 5: Solve for x
    x = 22,306,277,985,002,496/68,064,024
  6. Step 6: Final answer
    x = 327,724,937.11

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.