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Finding the Third Proportional to 2,924,239.50 and 6,520,852.13

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Solution

The third proportional to 2,924,239.50 and 6,520,852.13 is: 14,541,049.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,239.50 : 6,520,852.13 = 6,520,852.13 : x
  2. Step 2: Convert to fraction form
    2,924,239.50/6,520,852.13 = 6,520,852.13/x
  3. Step 3: Cross multiply
    2,924,239.50x = 6,520,852.13 × 6,520,852.13
  4. Step 4: Simplify right side
    2,924,239.50x = 42,521,512,436,117.02
  5. Step 5: Solve for x
    x = 42,521,512,436,117.02/2,924,239.50
  6. Step 6: Final answer
    x = 14,541,049.88

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.