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Finding the Third Proportional to 40,903,743 and 90,887,536

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Solution

The third proportional to 40,903,743 and 90,887,536 is: 201,950,814.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,903,743 : 90,887,536 = 90,887,536 : x
  2. Step 2: Convert to fraction form
    40,903,743/90,887,536 = 90,887,536/x
  3. Step 3: Cross multiply
    40,903,743x = 90,887,536 × 90,887,536
  4. Step 4: Simplify right side
    40,903,743x = 8,260,544,200,151,296
  5. Step 5: Solve for x
    x = 8,260,544,200,151,296/40,903,743
  6. Step 6: Final answer
    x = 201,950,814.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.