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Finding the Third Proportional to 4,973,649 and 7,908,849

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Solution

The third proportional to 4,973,649 and 7,908,849 is: 12,576,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973,649 : 7,908,849 = 7,908,849 : x
  2. Step 2: Convert to fraction form
    4,973,649/7,908,849 = 7,908,849/x
  3. Step 3: Cross multiply
    4,973,649x = 7,908,849 × 7,908,849
  4. Step 4: Simplify right side
    4,973,649x = 62,549,892,504,801
  5. Step 5: Solve for x
    x = 62,549,892,504,801/4,973,649
  6. Step 6: Final answer
    x = 12,576,257.90

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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.