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Finding the Third Proportional to 9,164,844 and 19,082,664

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Solution

The third proportional to 9,164,844 and 19,082,664 is: 39,733,143.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164,844 : 19,082,664 = 19,082,664 : x
  2. Step 2: Convert to fraction form
    9,164,844/19,082,664 = 19,082,664/x
  3. Step 3: Cross multiply
    9,164,844x = 19,082,664 × 19,082,664
  4. Step 4: Simplify right side
    9,164,844x = 364,148,065,336,896
  5. Step 5: Solve for x
    x = 364,148,065,336,896/9,164,844
  6. Step 6: Final answer
    x = 39,733,143.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.