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Finding the Third Proportional to 3,234,964 and 6,924,349

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Solution

The third proportional to 3,234,964 and 6,924,349 is: 14,821,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,964 : 6,924,349 = 6,924,349 : x
  2. Step 2: Convert to fraction form
    3,234,964/6,924,349 = 6,924,349/x
  3. Step 3: Cross multiply
    3,234,964x = 6,924,349 × 6,924,349
  4. Step 4: Simplify right side
    3,234,964x = 47,946,609,073,801
  5. Step 5: Solve for x
    x = 47,946,609,073,801/3,234,964
  6. Step 6: Final answer
    x = 14,821,373.31

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.