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Finding the Third Proportional to 3,907,124,939 and 8,381,432,902

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Solution

The third proportional to 3,907,124,939 and 8,381,432,902 is: 17,979,567,735.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907,124,939 : 8,381,432,902 = 8,381,432,902 : x
  2. Step 2: Convert to fraction form
    3,907,124,939/8,381,432,902 = 8,381,432,902/x
  3. Step 3: Cross multiply
    3,907,124,939x = 8,381,432,902 × 8,381,432,902
  4. Step 4: Simplify right side
    3,907,124,939x = 70,248,417,490,728,140,800
  5. Step 5: Solve for x
    x = 70,248,417,490,728,140,800/3,907,124,939
  6. Step 6: Final answer
    x = 17,979,567,735.22

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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.