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Finding the Third Proportional to 6,729,024 and 14,760,816

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Solution

The third proportional to 6,729,024 and 14,760,816 is: 32,379,389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,729,024 : 14,760,816 = 14,760,816 : x
  2. Step 2: Convert to fraction form
    6,729,024/14,760,816 = 14,760,816/x
  3. Step 3: Cross multiply
    6,729,024x = 14,760,816 × 14,760,816
  4. Step 4: Simplify right side
    6,729,024x = 217,881,688,985,856
  5. Step 5: Solve for x
    x = 217,881,688,985,856/6,729,024
  6. Step 6: Final answer
    x = 32,379,389.49

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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.