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Finding the Third Proportional to 9,166,196 and 19,085,276

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Solution

The third proportional to 9,166,196 and 19,085,276 is: 39,738,159.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166,196 : 19,085,276 = 19,085,276 : x
  2. Step 2: Convert to fraction form
    9,166,196/19,085,276 = 19,085,276/x
  3. Step 3: Cross multiply
    9,166,196x = 19,085,276 × 19,085,276
  4. Step 4: Simplify right side
    9,166,196x = 364,247,759,996,176
  5. Step 5: Solve for x
    x = 364,247,759,996,176/9,166,196
  6. Step 6: Final answer
    x = 39,738,159.65

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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.