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Finding the Third Proportional to 2,006,381,772 and 3,099,034,242

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Solution

The third proportional to 2,006,381,772 and 3,099,034,242 is: 4,786,732,698.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006,381,772 : 3,099,034,242 = 3,099,034,242 : x
  2. Step 2: Convert to fraction form
    2,006,381,772/3,099,034,242 = 3,099,034,242/x
  3. Step 3: Cross multiply
    2,006,381,772x = 3,099,034,242 × 3,099,034,242
  4. Step 4: Simplify right side
    2,006,381,772x = 9,604,013,233,088,514,048
  5. Step 5: Solve for x
    x = 9,604,013,233,088,514,048/2,006,381,772
  6. Step 6: Final answer
    x = 4,786,732,698.19

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.