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Finding the Third Proportional to 6,478,176 and 14,176,704

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Solution

The third proportional to 6,478,176 and 14,176,704 is: 31,024,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,176 : 14,176,704 = 14,176,704 : x
  2. Step 2: Convert to fraction form
    6,478,176/14,176,704 = 14,176,704/x
  3. Step 3: Cross multiply
    6,478,176x = 14,176,704 × 14,176,704
  4. Step 4: Simplify right side
    6,478,176x = 200,978,936,303,616
  5. Step 5: Solve for x
    x = 200,978,936,303,616/6,478,176
  6. Step 6: Final answer
    x = 31,024,000.63

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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.