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Finding the Third Proportional to 2,193,825,652 and 4,745,478,396

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Solution

The third proportional to 2,193,825,652 and 4,745,478,396 is: 10,264,974,879.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,193,825,652 : 4,745,478,396 = 4,745,478,396 : x
  2. Step 2: Convert to fraction form
    2,193,825,652/4,745,478,396 = 4,745,478,396/x
  3. Step 3: Cross multiply
    2,193,825,652x = 4,745,478,396 × 4,745,478,396
  4. Step 4: Simplify right side
    2,193,825,652x = 22,519,565,206,902,734,848
  5. Step 5: Solve for x
    x = 22,519,565,206,902,734,848/2,193,825,652
  6. Step 6: Final answer
    x = 10,264,974,879.10

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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.