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Finding the Third Proportional to 8,295,774 and 12,797,421

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Solution

The third proportional to 8,295,774 and 12,797,421 is: 19,741,857.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,295,774 : 12,797,421 = 12,797,421 : x
  2. Step 2: Convert to fraction form
    8,295,774/12,797,421 = 12,797,421/x
  3. Step 3: Cross multiply
    8,295,774x = 12,797,421 × 12,797,421
  4. Step 4: Simplify right side
    8,295,774x = 163,773,984,251,241
  5. Step 5: Solve for x
    x = 163,773,984,251,241/8,295,774
  6. Step 6: Final answer
    x = 19,741,857.03

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.