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Finding the Third Proportional to 9,161,901 and 14,173,299

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Solution

The third proportional to 9,161,901 and 14,173,299 is: 21,925,843.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161,901 : 14,173,299 = 14,173,299 : x
  2. Step 2: Convert to fraction form
    9,161,901/14,173,299 = 14,173,299/x
  3. Step 3: Cross multiply
    9,161,901x = 14,173,299 × 14,173,299
  4. Step 4: Simplify right side
    9,161,901x = 200,882,404,543,401
  5. Step 5: Solve for x
    x = 200,882,404,543,401/9,161,901
  6. Step 6: Final answer
    x = 21,925,843.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.