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Finding the Third Proportional to 5,301,089.50 and 11,540,726

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Solution

The third proportional to 5,301,089.50 and 11,540,726 is: 25,124,713.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301,089.50 : 11,540,726 = 11,540,726 : x
  2. Step 2: Convert to fraction form
    5,301,089.50/11,540,726 = 11,540,726/x
  3. Step 3: Cross multiply
    5,301,089.50x = 11,540,726 × 11,540,726
  4. Step 4: Simplify right side
    5,301,089.50x = 133,188,356,607,076
  5. Step 5: Solve for x
    x = 133,188,356,607,076/5,301,089.50
  6. Step 6: Final answer
    x = 25,124,713.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.