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Finding the Third Proportional to 5,766,524 and 12,684,148

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Solution

The third proportional to 5,766,524 and 12,684,148 is: 27,900,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,766,524 : 12,684,148 = 12,684,148 : x
  2. Step 2: Convert to fraction form
    5,766,524/12,684,148 = 12,684,148/x
  3. Step 3: Cross multiply
    5,766,524x = 12,684,148 × 12,684,148
  4. Step 4: Simplify right side
    5,766,524x = 160,887,610,485,904
  5. Step 5: Solve for x
    x = 160,887,610,485,904/5,766,524
  6. Step 6: Final answer
    x = 27,900,275.88

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.