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Finding the Third Proportional to 14,613,728 and 31,382,164

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Solution

The third proportional to 14,613,728 and 31,382,164 is: 67,391,442.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,613,728 : 31,382,164 = 31,382,164 : x
  2. Step 2: Convert to fraction form
    14,613,728/31,382,164 = 31,382,164/x
  3. Step 3: Cross multiply
    14,613,728x = 31,382,164 × 31,382,164
  4. Step 4: Simplify right side
    14,613,728x = 984,840,217,322,896
  5. Step 5: Solve for x
    x = 984,840,217,322,896/14,613,728
  6. Step 6: Final answer
    x = 67,391,442.99

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.