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Finding the Third Proportional to 16,509,937.50 and 25,014,224.25

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Solution

The third proportional to 16,509,937.50 and 25,014,224.25 is: 37,899,078.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509,937.50 : 25,014,224.25 = 25,014,224.25 : x
  2. Step 2: Convert to fraction form
    16,509,937.50/25,014,224.25 = 25,014,224.25/x
  3. Step 3: Cross multiply
    16,509,937.50x = 25,014,224.25 × 25,014,224.25
  4. Step 4: Simplify right side
    16,509,937.50x = 625,711,414,829,288
  5. Step 5: Solve for x
    x = 625,711,414,829,288/16,509,937.50
  6. Step 6: Final answer
    x = 37,899,078.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.