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Finding the Third Proportional to 2,516,358 and 5,385,366

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Solution

The third proportional to 2,516,358 and 5,385,366 is: 11,525,453.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,516,358 : 5,385,366 = 5,385,366 : x
  2. Step 2: Convert to fraction form
    2,516,358/5,385,366 = 5,385,366/x
  3. Step 3: Cross multiply
    2,516,358x = 5,385,366 × 5,385,366
  4. Step 4: Simplify right side
    2,516,358x = 29,002,166,953,956
  5. Step 5: Solve for x
    x = 29,002,166,953,956/2,516,358
  6. Step 6: Final answer
    x = 11,525,453.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.