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Finding the Third Proportional to 763,096,906 and 1,652,965,874

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Solution

The third proportional to 763,096,906 and 1,652,965,874 is: 3,580,536,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,096,906 : 1,652,965,874 = 1,652,965,874 : x
  2. Step 2: Convert to fraction form
    763,096,906/1,652,965,874 = 1,652,965,874/x
  3. Step 3: Cross multiply
    763,096,906x = 1,652,965,874 × 1,652,965,874
  4. Step 4: Simplify right side
    763,096,906x = 2,732,296,180,608,583,680
  5. Step 5: Solve for x
    x = 2,732,296,180,608,583,680/763,096,906
  6. Step 6: Final answer
    x = 3,580,536,310.82

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.