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Finding the Third Proportional to 252,085,408 and 547,193,696

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Solution

The third proportional to 252,085,408 and 547,193,696 is: 1,187,775,775.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,085,408 : 547,193,696 = 547,193,696 : x
  2. Step 2: Convert to fraction form
    252,085,408/547,193,696 = 547,193,696/x
  3. Step 3: Cross multiply
    252,085,408x = 547,193,696 × 547,193,696
  4. Step 4: Simplify right side
    252,085,408x = 299,420,940,942,140,416
  5. Step 5: Solve for x
    x = 299,420,940,942,140,416/252,085,408
  6. Step 6: Final answer
    x = 1,187,775,775.35

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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.