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Finding the Third Proportional to 5,466,646,085.50 and 8,164,146,615

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Solution

The third proportional to 5,466,646,085.50 and 8,164,146,615 is: 12,192,720,894.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,466,646,085.50 : 8,164,146,615 = 8,164,146,615 : x
  2. Step 2: Convert to fraction form
    5,466,646,085.50/8,164,146,615 = 8,164,146,615/x
  3. Step 3: Cross multiply
    5,466,646,085.50x = 8,164,146,615 × 8,164,146,615
  4. Step 4: Simplify right side
    5,466,646,085.50x = 66,653,289,951,215,960,064
  5. Step 5: Solve for x
    x = 66,653,289,951,215,960,064/5,466,646,085.50
  6. Step 6: Final answer
    x = 12,192,720,894.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.