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Finding the Third Proportional to 9,004,451,340 and 19,840,829,784

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Solution

The third proportional to 9,004,451,340 and 19,840,829,784 is: 43,718,213,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,004,451,340 : 19,840,829,784 = 19,840,829,784 : x
  2. Step 2: Convert to fraction form
    9,004,451,340/19,840,829,784 = 19,840,829,784/x
  3. Step 3: Cross multiply
    9,004,451,340x = 19,840,829,784 × 19,840,829,784
  4. Step 4: Simplify right side
    9,004,451,340x = 393,658,526,517,661,466,624
  5. Step 5: Solve for x
    x = 393,658,526,517,661,466,624/9,004,451,340
  6. Step 6: Final answer
    x = 43,718,213,542.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.