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Finding the Third Proportional to 4,023,216 and 8,676,288

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Solution

The third proportional to 4,023,216 and 8,676,288 is: 18,710,895.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,023,216 : 8,676,288 = 8,676,288 : x
  2. Step 2: Convert to fraction form
    4,023,216/8,676,288 = 8,676,288/x
  3. Step 3: Cross multiply
    4,023,216x = 8,676,288 × 8,676,288
  4. Step 4: Simplify right side
    4,023,216x = 75,277,973,458,944
  5. Step 5: Solve for x
    x = 75,277,973,458,944/4,023,216
  6. Step 6: Final answer
    x = 18,710,895.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.