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Finding the Third Proportional to 47,043,372 and 100,896,756

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Solution

The third proportional to 47,043,372 and 100,896,756 is: 216,399,355.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,043,372 : 100,896,756 = 100,896,756 : x
  2. Step 2: Convert to fraction form
    47,043,372/100,896,756 = 100,896,756/x
  3. Step 3: Cross multiply
    47,043,372x = 100,896,756 × 100,896,756
  4. Step 4: Simplify right side
    47,043,372x = 10,180,155,371,323,536
  5. Step 5: Solve for x
    x = 10,180,155,371,323,536/47,043,372
  6. Step 6: Final answer
    x = 216,399,355.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.