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Finding the Third Proportional to 2,872,326 and 6,223,353.75

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Solution

The third proportional to 2,872,326 and 6,223,353.75 is: 13,483,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,872,326 : 6,223,353.75 = 6,223,353.75 : x
  2. Step 2: Convert to fraction form
    2,872,326/6,223,353.75 = 6,223,353.75/x
  3. Step 3: Cross multiply
    2,872,326x = 6,223,353.75 × 6,223,353.75
  4. Step 4: Simplify right side
    2,872,326x = 38,730,131,897,639.06
  5. Step 5: Solve for x
    x = 38,730,131,897,639.06/2,872,326
  6. Step 6: Final answer
    x = 13,483,891.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.