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Finding the Third Proportional to 9,987,394.50 and 21,824,019

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Solution

The third proportional to 9,987,394.50 and 21,824,019 is: 47,688,894.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,987,394.50 : 21,824,019 = 21,824,019 : x
  2. Step 2: Convert to fraction form
    9,987,394.50/21,824,019 = 21,824,019/x
  3. Step 3: Cross multiply
    9,987,394.50x = 21,824,019 × 21,824,019
  4. Step 4: Simplify right side
    9,987,394.50x = 476,287,805,312,361
  5. Step 5: Solve for x
    x = 476,287,805,312,361/9,987,394.50
  6. Step 6: Final answer
    x = 47,688,894.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.