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Finding the Third Proportional to 5,342,726.25 and 12,599,625.94

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Solution

The third proportional to 5,342,726.25 and 12,599,625.94 is: 29,713,402.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,342,726.25 : 12,599,625.94 = 12,599,625.94 : x
  2. Step 2: Convert to fraction form
    5,342,726.25/12,599,625.94 = 12,599,625.94/x
  3. Step 3: Cross multiply
    5,342,726.25x = 12,599,625.94 × 12,599,625.94
  4. Step 4: Simplify right side
    5,342,726.25x = 158,750,573,764,922.75
  5. Step 5: Solve for x
    x = 158,750,573,764,922.75/5,342,726.25
  6. Step 6: Final answer
    x = 29,713,402.17

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.