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Finding the Third Proportional to 2,463,205.57 and 5,290,521.01

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Solution

The third proportional to 2,463,205.57 and 5,290,521.01 is: 11,363,084.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,463,205.57 : 5,290,521.01 = 5,290,521.01 : x
  2. Step 2: Convert to fraction form
    2,463,205.57/5,290,521.01 = 5,290,521.01/x
  3. Step 3: Cross multiply
    2,463,205.57x = 5,290,521.01 × 5,290,521.01
  4. Step 4: Simplify right side
    2,463,205.57x = 27,989,612,575,438.12
  5. Step 5: Solve for x
    x = 27,989,612,575,438.12/2,463,205.57
  6. Step 6: Final answer
    x = 11,363,084.31

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.