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Finding the Third Proportional to 6,478,198 and 14,176,748

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Solution

The third proportional to 6,478,198 and 14,176,748 is: 31,024,087.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,198 : 14,176,748 = 14,176,748 : x
  2. Step 2: Convert to fraction form
    6,478,198/14,176,748 = 14,176,748/x
  3. Step 3: Cross multiply
    6,478,198x = 14,176,748 × 14,176,748
  4. Step 4: Simplify right side
    6,478,198x = 200,980,183,855,504
  5. Step 5: Solve for x
    x = 200,980,183,855,504/6,478,198
  6. Step 6: Final answer
    x = 31,024,087.85

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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.