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Finding the Third Proportional to 2,108,883.09 and 4,603,515.40

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Solution

The third proportional to 2,108,883.09 and 4,603,515.40 is: 10,049,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,883.09 : 4,603,515.40 = 4,603,515.40 : x
  2. Step 2: Convert to fraction form
    2,108,883.09/4,603,515.40 = 4,603,515.40/x
  3. Step 3: Cross multiply
    2,108,883.09x = 4,603,515.40 × 4,603,515.40
  4. Step 4: Simplify right side
    2,108,883.09x = 21,192,354,023,651.18
  5. Step 5: Solve for x
    x = 21,192,354,023,651.18/2,108,883.09
  6. Step 6: Final answer
    x = 10,049,089.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.