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Finding the Third Proportional to 2,924,227.83 and 6,520,829.06

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Solution

The third proportional to 2,924,227.83 and 6,520,829.06 is: 14,541,005.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,924,227.83 : 6,520,829.06 = 6,520,829.06 : x
  2. Step 2: Convert to fraction form
    2,924,227.83/6,520,829.06 = 6,520,829.06/x
  3. Step 3: Cross multiply
    2,924,227.83x = 6,520,829.06 × 6,520,829.06
  4. Step 4: Simplify right side
    2,924,227.83x = 42,521,211,662,344.62
  5. Step 5: Solve for x
    x = 42,521,211,662,344.62/2,924,227.83
  6. Step 6: Final answer
    x = 14,541,005.07

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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.