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Finding the Third Proportional to 4,971,586.50 and 7,677,168.75

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Solution

The third proportional to 4,971,586.50 and 7,677,168.75 is: 11,855,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,971,586.50 : 7,677,168.75 = 7,677,168.75 : x
  2. Step 2: Convert to fraction form
    4,971,586.50/7,677,168.75 = 7,677,168.75/x
  3. Step 3: Cross multiply
    4,971,586.50x = 7,677,168.75 × 7,677,168.75
  4. Step 4: Simplify right side
    4,971,586.50x = 58,938,920,015,976.56
  5. Step 5: Solve for x
    x = 58,938,920,015,976.56/4,971,586.50
  6. Step 6: Final answer
    x = 11,855,153.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.