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Finding the Third Proportional to 5,295,459 and 8,182,827

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Solution

The third proportional to 5,295,459 and 8,182,827 is: 12,644,542.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295,459 : 8,182,827 = 8,182,827 : x
  2. Step 2: Convert to fraction form
    5,295,459/8,182,827 = 8,182,827/x
  3. Step 3: Cross multiply
    5,295,459x = 8,182,827 × 8,182,827
  4. Step 4: Simplify right side
    5,295,459x = 66,958,657,711,929
  5. Step 5: Solve for x
    x = 66,958,657,711,929/5,295,459
  6. Step 6: Final answer
    x = 12,644,542.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.