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Finding the Third Proportional to 5,645,907 and 8,972,415

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Solution

The third proportional to 5,645,907 and 8,972,415 is: 14,258,865.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645,907 : 8,972,415 = 8,972,415 : x
  2. Step 2: Convert to fraction form
    5,645,907/8,972,415 = 8,972,415/x
  3. Step 3: Cross multiply
    5,645,907x = 8,972,415 × 8,972,415
  4. Step 4: Simplify right side
    5,645,907x = 80,504,230,932,225
  5. Step 5: Solve for x
    x = 80,504,230,932,225/5,645,907
  6. Step 6: Final answer
    x = 14,258,865.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.