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Finding the Third Proportional to 10,267,640.37 and 15,369,475.68

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Solution

The third proportional to 10,267,640.37 and 15,369,475.68 is: 23,006,335.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,267,640.37 : 15,369,475.68 = 15,369,475.68 : x
  2. Step 2: Convert to fraction form
    10,267,640.37/15,369,475.68 = 15,369,475.68/x
  3. Step 3: Cross multiply
    10,267,640.37x = 15,369,475.68 × 15,369,475.68
  4. Step 4: Simplify right side
    10,267,640.37x = 236,220,782,548,454.59
  5. Step 5: Solve for x
    x = 236,220,782,548,454.59/10,267,640.37
  6. Step 6: Final answer
    x = 23,006,335.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.