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Finding the Third Proportional to 10,906,477 and 16,586,322

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Solution

The third proportional to 10,906,477 and 16,586,322 is: 25,224,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906,477 : 16,586,322 = 16,586,322 : x
  2. Step 2: Convert to fraction form
    10,906,477/16,586,322 = 16,586,322/x
  3. Step 3: Cross multiply
    10,906,477x = 16,586,322 × 16,586,322
  4. Step 4: Simplify right side
    10,906,477x = 275,106,077,487,684
  5. Step 5: Solve for x
    x = 275,106,077,487,684/10,906,477
  6. Step 6: Final answer
    x = 25,224,101.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.