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Finding the Third Proportional to 6,529,176 and 14,214,816

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Solution

The third proportional to 6,529,176 and 14,214,816 is: 30,947,395.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529,176 : 14,214,816 = 14,214,816 : x
  2. Step 2: Convert to fraction form
    6,529,176/14,214,816 = 14,214,816/x
  3. Step 3: Cross multiply
    6,529,176x = 14,214,816 × 14,214,816
  4. Step 4: Simplify right side
    6,529,176x = 202,060,993,913,856
  5. Step 5: Solve for x
    x = 202,060,993,913,856/6,529,176
  6. Step 6: Final answer
    x = 30,947,395.80

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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.