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Finding the Third Proportional to 1,104,644,896.31 and 1,655,351,472.38

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Solution

The third proportional to 1,104,644,896.31 and 1,655,351,472.38 is: 2,480,605,764.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,104,644,896.31 : 1,655,351,472.38 = 1,655,351,472.38 : x
  2. Step 2: Convert to fraction form
    1,104,644,896.31/1,655,351,472.38 = 1,655,351,472.38/x
  3. Step 3: Cross multiply
    1,104,644,896.31x = 1,655,351,472.38 × 1,655,351,472.38
  4. Step 4: Simplify right side
    1,104,644,896.31x = 2,740,188,497,094,080,512
  5. Step 5: Solve for x
    x = 2,740,188,497,094,080,512/1,104,644,896.31
  6. Step 6: Final answer
    x = 2,480,605,764.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.