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Finding the Third Proportional to 2,195,824.22 and 4,758,139.41

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Solution

The third proportional to 2,195,824.22 and 4,758,139.41 is: 10,310,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195,824.22 : 4,758,139.41 = 4,758,139.41 : x
  2. Step 2: Convert to fraction form
    2,195,824.22/4,758,139.41 = 4,758,139.41/x
  3. Step 3: Cross multiply
    2,195,824.22x = 4,758,139.41 × 4,758,139.41
  4. Step 4: Simplify right side
    2,195,824.22x = 22,639,890,609,309.10
  5. Step 5: Solve for x
    x = 22,639,890,609,309.10/2,195,824.22
  6. Step 6: Final answer
    x = 10,310,429.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.