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Finding the Third Proportional to 9,166,209 and 19,085,262

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Solution

The third proportional to 9,166,209 and 19,085,262 is: 39,738,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166,209 : 19,085,262 = 19,085,262 : x
  2. Step 2: Convert to fraction form
    9,166,209/19,085,262 = 19,085,262/x
  3. Step 3: Cross multiply
    9,166,209x = 19,085,262 × 19,085,262
  4. Step 4: Simplify right side
    9,166,209x = 364,247,225,608,644
  5. Step 5: Solve for x
    x = 364,247,225,608,644/9,166,209
  6. Step 6: Final answer
    x = 39,738,044.99

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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.