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Finding the Third Proportional to 7,947,091 and 17,164,646

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Solution

The third proportional to 7,947,091 and 17,164,646 is: 37,073,323.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947,091 : 17,164,646 = 17,164,646 : x
  2. Step 2: Convert to fraction form
    7,947,091/17,164,646 = 17,164,646/x
  3. Step 3: Cross multiply
    7,947,091x = 17,164,646 × 17,164,646
  4. Step 4: Simplify right side
    7,947,091x = 294,625,072,305,316
  5. Step 5: Solve for x
    x = 294,625,072,305,316/7,947,091
  6. Step 6: Final answer
    x = 37,073,323.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.