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Finding the Third Proportional to 10,266,606 and 14,354,199

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Solution

The third proportional to 10,266,606 and 14,354,199 is: 20,069,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266,606 : 14,354,199 = 14,354,199 : x
  2. Step 2: Convert to fraction form
    10,266,606/14,354,199 = 14,354,199/x
  3. Step 3: Cross multiply
    10,266,606x = 14,354,199 × 14,354,199
  4. Step 4: Simplify right side
    10,266,606x = 206,043,028,931,601
  5. Step 5: Solve for x
    x = 206,043,028,931,601/10,266,606
  6. Step 6: Final answer
    x = 20,069,244.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.