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Finding the Third Proportional to 4,877,747 and 10,504,678

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Solution

The third proportional to 4,877,747 and 10,504,678 is: 22,622,792.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877,747 : 10,504,678 = 10,504,678 : x
  2. Step 2: Convert to fraction form
    4,877,747/10,504,678 = 10,504,678/x
  3. Step 3: Cross multiply
    4,877,747x = 10,504,678 × 10,504,678
  4. Step 4: Simplify right side
    4,877,747x = 110,348,259,883,684
  5. Step 5: Solve for x
    x = 110,348,259,883,684/4,877,747
  6. Step 6: Final answer
    x = 22,622,792.84

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.