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Finding the Third Proportional to 2,836,280.25 and 6,223,623.75

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Solution

The third proportional to 2,836,280.25 and 6,223,623.75 is: 13,656,440.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,836,280.25 : 6,223,623.75 = 6,223,623.75 : x
  2. Step 2: Convert to fraction form
    2,836,280.25/6,223,623.75 = 6,223,623.75/x
  3. Step 3: Cross multiply
    2,836,280.25x = 6,223,623.75 × 6,223,623.75
  4. Step 4: Simplify right side
    2,836,280.25x = 38,733,492,581,564.06
  5. Step 5: Solve for x
    x = 38,733,492,581,564.06/2,836,280.25
  6. Step 6: Final answer
    x = 13,656,440.54

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.