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Finding the Third Proportional to 5,910,398 and 12,829,656

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Solution

The third proportional to 5,910,398 and 12,829,656 is: 27,849,236.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,910,398 : 12,829,656 = 12,829,656 : x
  2. Step 2: Convert to fraction form
    5,910,398/12,829,656 = 12,829,656/x
  3. Step 3: Cross multiply
    5,910,398x = 12,829,656 × 12,829,656
  4. Step 4: Simplify right side
    5,910,398x = 164,600,073,078,336
  5. Step 5: Solve for x
    x = 164,600,073,078,336/5,910,398
  6. Step 6: Final answer
    x = 27,849,236.73

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.