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Finding the Third Proportional to 2,164,745 and 4,672,711

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Solution

The third proportional to 2,164,745 and 4,672,711 is: 10,086,281.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,745 : 4,672,711 = 4,672,711 : x
  2. Step 2: Convert to fraction form
    2,164,745/4,672,711 = 4,672,711/x
  3. Step 3: Cross multiply
    2,164,745x = 4,672,711 × 4,672,711
  4. Step 4: Simplify right side
    2,164,745x = 21,834,228,089,521
  5. Step 5: Solve for x
    x = 21,834,228,089,521/2,164,745
  6. Step 6: Final answer
    x = 10,086,281.80

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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.