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Finding the Third Proportional to 21,959,176 and 47,698,536

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Solution

The third proportional to 21,959,176 and 47,698,536 is: 103,608,183.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,959,176 : 47,698,536 = 47,698,536 : x
  2. Step 2: Convert to fraction form
    21,959,176/47,698,536 = 47,698,536/x
  3. Step 3: Cross multiply
    21,959,176x = 47,698,536 × 47,698,536
  4. Step 4: Simplify right side
    21,959,176x = 2,275,150,336,543,296
  5. Step 5: Solve for x
    x = 2,275,150,336,543,296/21,959,176
  6. Step 6: Final answer
    x = 103,608,183.50

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Why These Related Problems?

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