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Finding the Third Proportional to 2,071,003,234 and 4,449,376,124

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Solution

The third proportional to 2,071,003,234 and 4,449,376,124 is: 9,559,110,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,071,003,234 : 4,449,376,124 = 4,449,376,124 : x
  2. Step 2: Convert to fraction form
    2,071,003,234/4,449,376,124 = 4,449,376,124/x
  3. Step 3: Cross multiply
    2,071,003,234x = 4,449,376,124 × 4,449,376,124
  4. Step 4: Simplify right side
    2,071,003,234x = 19,796,947,892,821,262,336
  5. Step 5: Solve for x
    x = 19,796,947,892,821,262,336/2,071,003,234
  6. Step 6: Final answer
    x = 9,559,110,081.44

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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.