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Finding the Third Proportional to 7,505,865 and 16,358,922

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Solution

The third proportional to 7,505,865 and 16,358,922 is: 35,654,029.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,505,865 : 16,358,922 = 16,358,922 : x
  2. Step 2: Convert to fraction form
    7,505,865/16,358,922 = 16,358,922/x
  3. Step 3: Cross multiply
    7,505,865x = 16,358,922 × 16,358,922
  4. Step 4: Simplify right side
    7,505,865x = 267,614,329,002,084
  5. Step 5: Solve for x
    x = 267,614,329,002,084/7,505,865
  6. Step 6: Final answer
    x = 35,654,029.08

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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.