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Finding the Third Proportional to 2,083,098,648 and 4,456,121,576

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Solution

The third proportional to 2,083,098,648 and 4,456,121,576 is: 9,532,443,179.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,083,098,648 : 4,456,121,576 = 4,456,121,576 : x
  2. Step 2: Convert to fraction form
    2,083,098,648/4,456,121,576 = 4,456,121,576/x
  3. Step 3: Cross multiply
    2,083,098,648x = 4,456,121,576 × 4,456,121,576
  4. Step 4: Simplify right side
    2,083,098,648x = 19,857,019,500,092,723,200
  5. Step 5: Solve for x
    x = 19,857,019,500,092,723,200/2,083,098,648
  6. Step 6: Final answer
    x = 9,532,443,179.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.