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Finding the Third Proportional to 6,925,453.50 and 15,033,727.50

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Solution

The third proportional to 6,925,453.50 and 15,033,727.50 is: 32,635,113.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,925,453.50 : 15,033,727.50 = 15,033,727.50 : x
  2. Step 2: Convert to fraction form
    6,925,453.50/15,033,727.50 = 15,033,727.50/x
  3. Step 3: Cross multiply
    6,925,453.50x = 15,033,727.50 × 15,033,727.50
  4. Step 4: Simplify right side
    6,925,453.50x = 226,012,962,544,256.25
  5. Step 5: Solve for x
    x = 226,012,962,544,256.25/6,925,453.50
  6. Step 6: Final answer
    x = 32,635,113.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.