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Finding the Third Proportional to 4,995,730 and 11,789,197

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Solution

The third proportional to 4,995,730 and 11,789,197 is: 27,820,792.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,995,730 : 11,789,197 = 11,789,197 : x
  2. Step 2: Convert to fraction form
    4,995,730/11,789,197 = 11,789,197/x
  3. Step 3: Cross multiply
    4,995,730x = 11,789,197 × 11,789,197
  4. Step 4: Simplify right side
    4,995,730x = 138,985,165,904,809
  5. Step 5: Solve for x
    x = 138,985,165,904,809/4,995,730
  6. Step 6: Final answer
    x = 27,820,792.14

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.