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Finding the Third Proportional to 9,575,989.50 and 21,277,716

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Solution

The third proportional to 9,575,989.50 and 21,277,716 is: 47,278,790.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575,989.50 : 21,277,716 = 21,277,716 : x
  2. Step 2: Convert to fraction form
    9,575,989.50/21,277,716 = 21,277,716/x
  3. Step 3: Cross multiply
    9,575,989.50x = 21,277,716 × 21,277,716
  4. Step 4: Simplify right side
    9,575,989.50x = 452,741,198,176,656
  5. Step 5: Solve for x
    x = 452,741,198,176,656/9,575,989.50
  6. Step 6: Final answer
    x = 47,278,790.16

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.