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Finding the Third Proportional to 6,921,326 and 14,907,629

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Solution

The third proportional to 6,921,326 and 14,907,629 is: 32,109,078.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921,326 : 14,907,629 = 14,907,629 : x
  2. Step 2: Convert to fraction form
    6,921,326/14,907,629 = 14,907,629/x
  3. Step 3: Cross multiply
    6,921,326x = 14,907,629 × 14,907,629
  4. Step 4: Simplify right side
    6,921,326x = 222,237,402,401,641
  5. Step 5: Solve for x
    x = 222,237,402,401,641/6,921,326
  6. Step 6: Final answer
    x = 32,109,078.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.