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Finding the Third Proportional to 5,836,525.50 and 9,323,976

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Solution

The third proportional to 5,836,525.50 and 9,323,976 is: 14,895,253.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,836,525.50 : 9,323,976 = 9,323,976 : x
  2. Step 2: Convert to fraction form
    5,836,525.50/9,323,976 = 9,323,976/x
  3. Step 3: Cross multiply
    5,836,525.50x = 9,323,976 × 9,323,976
  4. Step 4: Simplify right side
    5,836,525.50x = 86,936,528,448,576
  5. Step 5: Solve for x
    x = 86,936,528,448,576/5,836,525.50
  6. Step 6: Final answer
    x = 14,895,253.77

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.