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Finding the Third Proportional to 10,824,853.50 and 23,555,418

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Solution

The third proportional to 10,824,853.50 and 23,555,418 is: 51,257,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,824,853.50 : 23,555,418 = 23,555,418 : x
  2. Step 2: Convert to fraction form
    10,824,853.50/23,555,418 = 23,555,418/x
  3. Step 3: Cross multiply
    10,824,853.50x = 23,555,418 × 23,555,418
  4. Step 4: Simplify right side
    10,824,853.50x = 554,857,717,154,724
  5. Step 5: Solve for x
    x = 554,857,717,154,724/10,824,853.50
  6. Step 6: Final answer
    x = 51,257,757.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.