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Finding the Third Proportional to 7,477,583 and 16,267,366

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Solution

The third proportional to 7,477,583 and 16,267,366 is: 35,389,402.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477,583 : 16,267,366 = 16,267,366 : x
  2. Step 2: Convert to fraction form
    7,477,583/16,267,366 = 16,267,366/x
  3. Step 3: Cross multiply
    7,477,583x = 16,267,366 × 16,267,366
  4. Step 4: Simplify right side
    7,477,583x = 264,627,196,577,956
  5. Step 5: Solve for x
    x = 264,627,196,577,956/7,477,583
  6. Step 6: Final answer
    x = 35,389,402.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.