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Finding the Third Proportional to 5,441,762.75 and 7,866,472.75

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Solution

The third proportional to 5,441,762.75 and 7,866,472.75 is: 11,371,571.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441,762.75 : 7,866,472.75 = 7,866,472.75 : x
  2. Step 2: Convert to fraction form
    5,441,762.75/7,866,472.75 = 7,866,472.75/x
  3. Step 3: Cross multiply
    5,441,762.75x = 7,866,472.75 × 7,866,472.75
  4. Step 4: Simplify right side
    5,441,762.75x = 61,881,393,526,492.56
  5. Step 5: Solve for x
    x = 61,881,393,526,492.56/5,441,762.75
  6. Step 6: Final answer
    x = 11,371,571.38

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.