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Finding the Third Proportional to 493,486,723.69 and 1,083,834,037.13

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Solution

The third proportional to 493,486,723.69 and 1,083,834,037.13 is: 2,380,400,857.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,486,723.69 : 1,083,834,037.13 = 1,083,834,037.13 : x
  2. Step 2: Convert to fraction form
    493,486,723.69/1,083,834,037.13 = 1,083,834,037.13/x
  3. Step 3: Cross multiply
    493,486,723.69x = 1,083,834,037.13 × 1,083,834,037.13
  4. Step 4: Simplify right side
    493,486,723.69x = 1,174,696,220,030,675,968
  5. Step 5: Solve for x
    x = 1,174,696,220,030,675,968/493,486,723.69
  6. Step 6: Final answer
    x = 2,380,400,857.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.