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Finding the Third Proportional to 2,700,524 and 5,762,632

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Solution

The third proportional to 2,700,524 and 5,762,632 is: 12,296,845.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,700,524 : 5,762,632 = 5,762,632 : x
  2. Step 2: Convert to fraction form
    2,700,524/5,762,632 = 5,762,632/x
  3. Step 3: Cross multiply
    2,700,524x = 5,762,632 × 5,762,632
  4. Step 4: Simplify right side
    2,700,524x = 33,207,927,567,424
  5. Step 5: Solve for x
    x = 33,207,927,567,424/2,700,524
  6. Step 6: Final answer
    x = 12,296,845.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.