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Finding the Third Proportional to 2,857,757 and 6,164,213

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Solution

The third proportional to 2,857,757 and 6,164,213 is: 13,296,274.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,757 : 6,164,213 = 6,164,213 : x
  2. Step 2: Convert to fraction form
    2,857,757/6,164,213 = 6,164,213/x
  3. Step 3: Cross multiply
    2,857,757x = 6,164,213 × 6,164,213
  4. Step 4: Simplify right side
    2,857,757x = 37,997,521,909,369
  5. Step 5: Solve for x
    x = 37,997,521,909,369/2,857,757
  6. Step 6: Final answer
    x = 13,296,274.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.