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Finding the Third Proportional to 9,206,946 and 13,938,372

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Solution

The third proportional to 9,206,946 and 13,938,372 is: 21,101,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206,946 : 13,938,372 = 13,938,372 : x
  2. Step 2: Convert to fraction form
    9,206,946/13,938,372 = 13,938,372/x
  3. Step 3: Cross multiply
    9,206,946x = 13,938,372 × 13,938,372
  4. Step 4: Simplify right side
    9,206,946x = 194,278,214,010,384
  5. Step 5: Solve for x
    x = 194,278,214,010,384/9,206,946
  6. Step 6: Final answer
    x = 21,101,265.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.