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Finding the Third Proportional to 9,831,696 and 20,053,734

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Solution

The third proportional to 9,831,696 and 20,053,734 is: 40,903,649.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831,696 : 20,053,734 = 20,053,734 : x
  2. Step 2: Convert to fraction form
    9,831,696/20,053,734 = 20,053,734/x
  3. Step 3: Cross multiply
    9,831,696x = 20,053,734 × 20,053,734
  4. Step 4: Simplify right side
    9,831,696x = 402,152,247,342,756
  5. Step 5: Solve for x
    x = 402,152,247,342,756/9,831,696
  6. Step 6: Final answer
    x = 40,903,649.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.