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Finding the Third Proportional to 6,992,416 and 15,215,376

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Solution

The third proportional to 6,992,416 and 15,215,376 is: 33,108,394.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,992,416 : 15,215,376 = 15,215,376 : x
  2. Step 2: Convert to fraction form
    6,992,416/15,215,376 = 15,215,376/x
  3. Step 3: Cross multiply
    6,992,416x = 15,215,376 × 15,215,376
  4. Step 4: Simplify right side
    6,992,416x = 231,507,666,821,376
  5. Step 5: Solve for x
    x = 231,507,666,821,376/6,992,416
  6. Step 6: Final answer
    x = 33,108,394.41

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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.