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Finding the Third Proportional to 6,931,424.25 and 15,456,611.25

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Solution

The third proportional to 6,931,424.25 and 15,456,611.25 is: 34,467,206.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,931,424.25 : 15,456,611.25 = 15,456,611.25 : x
  2. Step 2: Convert to fraction form
    6,931,424.25/15,456,611.25 = 15,456,611.25/x
  3. Step 3: Cross multiply
    6,931,424.25x = 15,456,611.25 × 15,456,611.25
  4. Step 4: Simplify right side
    6,931,424.25x = 238,906,831,333,626.56
  5. Step 5: Solve for x
    x = 238,906,831,333,626.56/6,931,424.25
  6. Step 6: Final answer
    x = 34,467,206.55

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.