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Finding the Third Proportional to 6,478,704 and 14,177,628

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Solution

The third proportional to 6,478,704 and 14,177,628 is: 31,025,516.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,704 : 14,177,628 = 14,177,628 : x
  2. Step 2: Convert to fraction form
    6,478,704/14,177,628 = 14,177,628/x
  3. Step 3: Cross multiply
    6,478,704x = 14,177,628 × 14,177,628
  4. Step 4: Simplify right side
    6,478,704x = 201,005,135,706,384
  5. Step 5: Solve for x
    x = 201,005,135,706,384/6,478,704
  6. Step 6: Final answer
    x = 31,025,516.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.