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Finding the Third Proportional to 3,563,238.09 and 4,841,095.36

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Solution

The third proportional to 3,563,238.09 and 4,841,095.36 is: 6,577,220.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563,238.09 : 4,841,095.36 = 4,841,095.36 : x
  2. Step 2: Convert to fraction form
    3,563,238.09/4,841,095.36 = 4,841,095.36/x
  3. Step 3: Cross multiply
    3,563,238.09x = 4,841,095.36 × 4,841,095.36
  4. Step 4: Simplify right side
    3,563,238.09x = 23,436,204,278,562.16
  5. Step 5: Solve for x
    x = 23,436,204,278,562.16/3,563,238.09
  6. Step 6: Final answer
    x = 6,577,220.96

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.