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Finding the Third Proportional to 827,789,099 and 1,802,544,598

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Solution

The third proportional to 827,789,099 and 1,802,544,598 is: 3,925,114,539.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,789,099 : 1,802,544,598 = 1,802,544,598 : x
  2. Step 2: Convert to fraction form
    827,789,099/1,802,544,598 = 1,802,544,598/x
  3. Step 3: Cross multiply
    827,789,099x = 1,802,544,598 × 1,802,544,598
  4. Step 4: Simplify right side
    827,789,099x = 3,249,167,027,778,981,376
  5. Step 5: Solve for x
    x = 3,249,167,027,778,981,376/827,789,099
  6. Step 6: Final answer
    x = 3,925,114,539.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.