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Finding the Third Proportional to 1,202,831,542 and 1,913,961,328

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Solution

The third proportional to 1,202,831,542 and 1,913,961,328 is: 3,045,520,371.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202,831,542 : 1,913,961,328 = 1,913,961,328 : x
  2. Step 2: Convert to fraction form
    1,202,831,542/1,913,961,328 = 1,913,961,328/x
  3. Step 3: Cross multiply
    1,202,831,542x = 1,913,961,328 × 1,913,961,328
  4. Step 4: Simplify right side
    1,202,831,542x = 3,663,247,965,079,523,328
  5. Step 5: Solve for x
    x = 3,663,247,965,079,523,328/1,202,831,542
  6. Step 6: Final answer
    x = 3,045,520,371.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.