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Finding the Third Proportional to 2,738,374.50 and 6,106,387

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Solution

The third proportional to 2,738,374.50 and 6,106,387 is: 13,616,823.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738,374.50 : 6,106,387 = 6,106,387 : x
  2. Step 2: Convert to fraction form
    2,738,374.50/6,106,387 = 6,106,387/x
  3. Step 3: Cross multiply
    2,738,374.50x = 6,106,387 × 6,106,387
  4. Step 4: Simplify right side
    2,738,374.50x = 37,287,962,193,769
  5. Step 5: Solve for x
    x = 37,287,962,193,769/2,738,374.50
  6. Step 6: Final answer
    x = 13,616,823.48

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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.