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Finding the Third Proportional to 2,197,208.85 and 4,813,336.41

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Solution

The third proportional to 2,197,208.85 and 4,813,336.41 is: 10,544,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197,208.85 : 4,813,336.41 = 4,813,336.41 : x
  2. Step 2: Convert to fraction form
    2,197,208.85/4,813,336.41 = 4,813,336.41/x
  3. Step 3: Cross multiply
    2,197,208.85x = 4,813,336.41 × 4,813,336.41
  4. Step 4: Simplify right side
    2,197,208.85x = 23,168,207,359,731.66
  5. Step 5: Solve for x
    x = 23,168,207,359,731.66/2,197,208.85
  6. Step 6: Final answer
    x = 10,544,381.06

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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.