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Finding the Third Proportional to 75,542,640 and 166,964,536

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Solution

The third proportional to 75,542,640 and 166,964,536 is: 369,025,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,542,640 : 166,964,536 = 166,964,536 : x
  2. Step 2: Convert to fraction form
    75,542,640/166,964,536 = 166,964,536/x
  3. Step 3: Cross multiply
    75,542,640x = 166,964,536 × 166,964,536
  4. Step 4: Simplify right side
    75,542,640x = 27,877,156,281,695,296
  5. Step 5: Solve for x
    x = 27,877,156,281,695,296/75,542,640
  6. Step 6: Final answer
    x = 369,025,444.20

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.