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Finding the Third Proportional to 41,989,963.50 and 62,984,965.50

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Solution

The third proportional to 41,989,963.50 and 62,984,965.50 is: 94,477,478.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,989,963.50 : 62,984,965.50 = 62,984,965.50 : x
  2. Step 2: Convert to fraction form
    41,989,963.50/62,984,965.50 = 62,984,965.50/x
  3. Step 3: Cross multiply
    41,989,963.50x = 62,984,965.50 × 62,984,965.50
  4. Step 4: Simplify right side
    41,989,963.50x = 3,967,105,879,036,190
  5. Step 5: Solve for x
    x = 3,967,105,879,036,190/41,989,963.50
  6. Step 6: Final answer
    x = 94,477,478.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.