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Finding the Third Proportional to 3,907,124,940 and 8,381,432,904

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Solution

The third proportional to 3,907,124,940 and 8,381,432,904 is: 17,979,567,739.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907,124,940 : 8,381,432,904 = 8,381,432,904 : x
  2. Step 2: Convert to fraction form
    3,907,124,940/8,381,432,904 = 8,381,432,904/x
  3. Step 3: Cross multiply
    3,907,124,940x = 8,381,432,904 × 8,381,432,904
  4. Step 4: Simplify right side
    3,907,124,940x = 70,248,417,524,253,876,224
  5. Step 5: Solve for x
    x = 70,248,417,524,253,876,224/3,907,124,940
  6. Step 6: Final answer
    x = 17,979,567,739.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.