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Finding the Third Proportional to 9,368,289 and 13,974,714

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Solution

The third proportional to 9,368,289 and 13,974,714 is: 20,846,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368,289 : 13,974,714 = 13,974,714 : x
  2. Step 2: Convert to fraction form
    9,368,289/13,974,714 = 13,974,714/x
  3. Step 3: Cross multiply
    9,368,289x = 13,974,714 × 13,974,714
  4. Step 4: Simplify right side
    9,368,289x = 195,292,631,381,796
  5. Step 5: Solve for x
    x = 195,292,631,381,796/9,368,289
  6. Step 6: Final answer
    x = 20,846,136.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.