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Finding the Third Proportional to 493,337,692 and 1,096,977,904

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Solution

The third proportional to 493,337,692 and 1,096,977,904 is: 2,439,222,750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,337,692 : 1,096,977,904 = 1,096,977,904 : x
  2. Step 2: Convert to fraction form
    493,337,692/1,096,977,904 = 1,096,977,904/x
  3. Step 3: Cross multiply
    493,337,692x = 1,096,977,904 × 1,096,977,904
  4. Step 4: Simplify right side
    493,337,692x = 1,203,360,521,864,233,216
  5. Step 5: Solve for x
    x = 1,203,360,521,864,233,216/493,337,692
  6. Step 6: Final answer
    x = 2,439,222,750.21

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.