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Finding the Third Proportional to 19,792,800 and 30,646,944

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Solution

The third proportional to 19,792,800 and 30,646,944 is: 47,453,375.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,792,800 : 30,646,944 = 30,646,944 : x
  2. Step 2: Convert to fraction form
    19,792,800/30,646,944 = 30,646,944/x
  3. Step 3: Cross multiply
    19,792,800x = 30,646,944 × 30,646,944
  4. Step 4: Simplify right side
    19,792,800x = 939,235,176,539,136
  5. Step 5: Solve for x
    x = 939,235,176,539,136/19,792,800
  6. Step 6: Final answer
    x = 47,453,375.80

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.