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Finding the Third Proportional to 4,986,684 and 10,770,408

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Solution

The third proportional to 4,986,684 and 10,770,408 is: 23,262,289.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,986,684 : 10,770,408 = 10,770,408 : x
  2. Step 2: Convert to fraction form
    4,986,684/10,770,408 = 10,770,408/x
  3. Step 3: Cross multiply
    4,986,684x = 10,770,408 × 10,770,408
  4. Step 4: Simplify right side
    4,986,684x = 116,001,688,486,464
  5. Step 5: Solve for x
    x = 116,001,688,486,464/4,986,684
  6. Step 6: Final answer
    x = 23,262,289.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.