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Finding the Third Proportional to 10,418,476.50 and 11,664,040.50

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Solution

The third proportional to 10,418,476.50 and 11,664,040.50 is: 13,058,515.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418,476.50 : 11,664,040.50 = 11,664,040.50 : x
  2. Step 2: Convert to fraction form
    10,418,476.50/11,664,040.50 = 11,664,040.50/x
  3. Step 3: Cross multiply
    10,418,476.50x = 11,664,040.50 × 11,664,040.50
  4. Step 4: Simplify right side
    10,418,476.50x = 136,049,840,785,640.25
  5. Step 5: Solve for x
    x = 136,049,840,785,640.25/10,418,476.50
  6. Step 6: Final answer
    x = 13,058,515.88

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.