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Finding the Third Proportional to 8,266,414 and 17,516,202

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Solution

The third proportional to 8,266,414 and 17,516,202 is: 37,116,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266,414 : 17,516,202 = 17,516,202 : x
  2. Step 2: Convert to fraction form
    8,266,414/17,516,202 = 17,516,202/x
  3. Step 3: Cross multiply
    8,266,414x = 17,516,202 × 17,516,202
  4. Step 4: Simplify right side
    8,266,414x = 306,817,332,504,804
  5. Step 5: Solve for x
    x = 306,817,332,504,804/8,266,414
  6. Step 6: Final answer
    x = 37,116,134.34

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.