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Finding the Third Proportional to 6,478,792 and 14,998,816

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Solution

The third proportional to 6,478,792 and 14,998,816 is: 34,723,214.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,792 : 14,998,816 = 14,998,816 : x
  2. Step 2: Convert to fraction form
    6,478,792/14,998,816 = 14,998,816/x
  3. Step 3: Cross multiply
    6,478,792x = 14,998,816 × 14,998,816
  4. Step 4: Simplify right side
    6,478,792x = 224,964,481,401,856
  5. Step 5: Solve for x
    x = 224,964,481,401,856/6,478,792
  6. Step 6: Final answer
    x = 34,723,214.05

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.