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Finding the Third Proportional to 9,963,326 and 16,269,211

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Solution

The third proportional to 9,963,326 and 16,269,211 is: 26,566,151.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963,326 : 16,269,211 = 16,269,211 : x
  2. Step 2: Convert to fraction form
    9,963,326/16,269,211 = 16,269,211/x
  3. Step 3: Cross multiply
    9,963,326x = 16,269,211 × 16,269,211
  4. Step 4: Simplify right side
    9,963,326x = 264,687,226,562,521
  5. Step 5: Solve for x
    x = 264,687,226,562,521/9,963,326
  6. Step 6: Final answer
    x = 26,566,151.36

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.