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Finding the Third Proportional to 2,502,747,410.50 and 3,408,314,783

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Solution

The third proportional to 2,502,747,410.50 and 3,408,314,783 is: 4,641,542,974.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502,747,410.50 : 3,408,314,783 = 3,408,314,783 : x
  2. Step 2: Convert to fraction form
    2,502,747,410.50/3,408,314,783 = 3,408,314,783/x
  3. Step 3: Cross multiply
    2,502,747,410.50x = 3,408,314,783 × 3,408,314,783
  4. Step 4: Simplify right side
    2,502,747,410.50x = 11,616,609,660,016,336,896
  5. Step 5: Solve for x
    x = 11,616,609,660,016,336,896/2,502,747,410.50
  6. Step 6: Final answer
    x = 4,641,542,974.44

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.