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Finding the Third Proportional to 3,916,368,124 and 8,452,946,762

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Solution

The third proportional to 3,916,368,124 and 8,452,946,762 is: 18,244,533,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916,368,124 : 8,452,946,762 = 8,452,946,762 : x
  2. Step 2: Convert to fraction form
    3,916,368,124/8,452,946,762 = 8,452,946,762/x
  3. Step 3: Cross multiply
    3,916,368,124x = 8,452,946,762 × 8,452,946,762
  4. Step 4: Simplify right side
    3,916,368,124x = 71,452,308,961,206,288,384
  5. Step 5: Solve for x
    x = 71,452,308,961,206,288,384/3,916,368,124
  6. Step 6: Final answer
    x = 18,244,533,378.60

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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.