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Finding the Third Proportional to 31,823,355 and 69,476,010

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Solution

The third proportional to 31,823,355 and 69,476,010 is: 151,678,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,823,355 : 69,476,010 = 69,476,010 : x
  2. Step 2: Convert to fraction form
    31,823,355/69,476,010 = 69,476,010/x
  3. Step 3: Cross multiply
    31,823,355x = 69,476,010 × 69,476,010
  4. Step 4: Simplify right side
    31,823,355x = 4,826,915,965,520,100
  5. Step 5: Solve for x
    x = 4,826,915,965,520,100/31,823,355
  6. Step 6: Final answer
    x = 151,678,412.46

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.