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Finding the Third Proportional to 2,163,401.16 and 4,616,362.13

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Solution

The third proportional to 2,163,401.16 and 4,616,362.13 is: 9,850,599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,163,401.16 : 4,616,362.13 = 4,616,362.13 : x
  2. Step 2: Convert to fraction form
    2,163,401.16/4,616,362.13 = 4,616,362.13/x
  3. Step 3: Cross multiply
    2,163,401.16x = 4,616,362.13 × 4,616,362.13
  4. Step 4: Simplify right side
    2,163,401.16x = 21,310,799,269,134.52
  5. Step 5: Solve for x
    x = 21,310,799,269,134.52/2,163,401.16
  6. Step 6: Final answer
    x = 9,850,599.93

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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.