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Finding the Third Proportional to 2,185,121,168 and 4,806,090,392

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Solution

The third proportional to 2,185,121,168 and 4,806,090,392 is: 10,570,811,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,185,121,168 : 4,806,090,392 = 4,806,090,392 : x
  2. Step 2: Convert to fraction form
    2,185,121,168/4,806,090,392 = 4,806,090,392/x
  3. Step 3: Cross multiply
    2,185,121,168x = 4,806,090,392 × 4,806,090,392
  4. Step 4: Simplify right side
    2,185,121,168x = 23,098,504,856,074,715,136
  5. Step 5: Solve for x
    x = 23,098,504,856,074,715,136/2,185,121,168
  6. Step 6: Final answer
    x = 10,570,811,904.78

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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.