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Finding the Third Proportional to 2,163,398.63 and 4,616,358.33

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Solution

The third proportional to 2,163,398.63 and 4,616,358.33 is: 9,850,595.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,398.63 : 4,616,358.33 = 4,616,358.33 : x
  2. Step 2: Convert to fraction form
    2,163,398.63/4,616,358.33 = 4,616,358.33/x
  3. Step 3: Cross multiply
    2,163,398.63x = 4,616,358.33 × 4,616,358.33
  4. Step 4: Simplify right side
    2,163,398.63x = 21,310,764,213,649.05
  5. Step 5: Solve for x
    x = 21,310,764,213,649.05/2,163,398.63
  6. Step 6: Final answer
    x = 9,850,595.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.