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Finding the Third Proportional to 3,378,881 and 6,997,297

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Solution

The third proportional to 3,378,881 and 6,997,297 is: 14,490,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378,881 : 6,997,297 = 6,997,297 : x
  2. Step 2: Convert to fraction form
    3,378,881/6,997,297 = 6,997,297/x
  3. Step 3: Cross multiply
    3,378,881x = 6,997,297 × 6,997,297
  4. Step 4: Simplify right side
    3,378,881x = 48,962,165,306,209
  5. Step 5: Solve for x
    x = 48,962,165,306,209/3,378,881
  6. Step 6: Final answer
    x = 14,490,645.07

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.