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Finding the Third Proportional to 8,603,464 and 13,205,980

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Solution

The third proportional to 8,603,464 and 13,205,980 is: 20,270,661.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,603,464 : 13,205,980 = 13,205,980 : x
  2. Step 2: Convert to fraction form
    8,603,464/13,205,980 = 13,205,980/x
  3. Step 3: Cross multiply
    8,603,464x = 13,205,980 × 13,205,980
  4. Step 4: Simplify right side
    8,603,464x = 174,397,907,760,400
  5. Step 5: Solve for x
    x = 174,397,907,760,400/8,603,464
  6. Step 6: Final answer
    x = 20,270,661.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.