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Finding the Third Proportional to 6,478,648 and 14,998,466

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Solution

The third proportional to 6,478,648 and 14,998,466 is: 34,722,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478,648 : 14,998,466 = 14,998,466 : x
  2. Step 2: Convert to fraction form
    6,478,648/14,998,466 = 14,998,466/x
  3. Step 3: Cross multiply
    6,478,648x = 14,998,466 × 14,998,466
  4. Step 4: Simplify right side
    6,478,648x = 224,953,982,353,156
  5. Step 5: Solve for x
    x = 224,953,982,353,156/6,478,648
  6. Step 6: Final answer
    x = 34,722,365.28

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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.