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Finding the Third Proportional to 2,504,862,295 and 4,946,497,879

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Solution

The third proportional to 2,504,862,295 and 4,946,497,879 is: 9,768,138,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,504,862,295 : 4,946,497,879 = 4,946,497,879 : x
  2. Step 2: Convert to fraction form
    2,504,862,295/4,946,497,879 = 4,946,497,879/x
  3. Step 3: Cross multiply
    2,504,862,295x = 4,946,497,879 × 4,946,497,879
  4. Step 4: Simplify right side
    2,504,862,295x = 24,467,841,266,951,499,776
  5. Step 5: Solve for x
    x = 24,467,841,266,951,499,776/2,504,862,295
  6. Step 6: Final answer
    x = 9,768,138,278.82

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.