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Finding the Third Proportional to 4,869,294.75 and 7,569,738.56

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Solution

The third proportional to 4,869,294.75 and 7,569,738.56 is: 11,767,811.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,869,294.75 : 7,569,738.56 = 7,569,738.56 : x
  2. Step 2: Convert to fraction form
    4,869,294.75/7,569,738.56 = 7,569,738.56/x
  3. Step 3: Cross multiply
    4,869,294.75x = 7,569,738.56 × 7,569,738.56
  4. Step 4: Simplify right side
    4,869,294.75x = 57,300,941,904,599.56
  5. Step 5: Solve for x
    x = 57,300,941,904,599.56/4,869,294.75
  6. Step 6: Final answer
    x = 11,767,811.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.