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Finding the Third Proportional to 6,478,188 and 14,176,728

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Solution

The third proportional to 6,478,188 and 14,176,728 is: 31,024,048.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,188 : 14,176,728 = 14,176,728 : x
  2. Step 2: Convert to fraction form
    6,478,188/14,176,728 = 14,176,728/x
  3. Step 3: Cross multiply
    6,478,188x = 14,176,728 × 14,176,728
  4. Step 4: Simplify right side
    6,478,188x = 200,979,616,785,984
  5. Step 5: Solve for x
    x = 200,979,616,785,984/6,478,188
  6. Step 6: Final answer
    x = 31,024,048.20

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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.