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Finding the Third Proportional to 66,872,400 and 146,896,656

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Solution

The third proportional to 66,872,400 and 146,896,656 is: 322,683,611.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,872,400 : 146,896,656 = 146,896,656 : x
  2. Step 2: Convert to fraction form
    66,872,400/146,896,656 = 146,896,656/x
  3. Step 3: Cross multiply
    66,872,400x = 146,896,656 × 146,896,656
  4. Step 4: Simplify right side
    66,872,400x = 21,578,627,543,982,336
  5. Step 5: Solve for x
    x = 21,578,627,543,982,336/66,872,400
  6. Step 6: Final answer
    x = 322,683,611.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.