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Finding the Third Proportional to 15,261,976 and 32,343,536

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Solution

The third proportional to 15,261,976 and 32,343,536 is: 68,543,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,261,976 : 32,343,536 = 32,343,536 : x
  2. Step 2: Convert to fraction form
    15,261,976/32,343,536 = 32,343,536/x
  3. Step 3: Cross multiply
    15,261,976x = 32,343,536 × 32,343,536
  4. Step 4: Simplify right side
    15,261,976x = 1,046,104,320,983,296
  5. Step 5: Solve for x
    x = 1,046,104,320,983,296/15,261,976
  6. Step 6: Final answer
    x = 68,543,176.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.