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Finding the Third Proportional to 9,098,170 and 19,456,052

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Solution

The third proportional to 9,098,170 and 19,456,052 is: 41,605,944.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,098,170 : 19,456,052 = 19,456,052 : x
  2. Step 2: Convert to fraction form
    9,098,170/19,456,052 = 19,456,052/x
  3. Step 3: Cross multiply
    9,098,170x = 19,456,052 × 19,456,052
  4. Step 4: Simplify right side
    9,098,170x = 378,537,959,426,704
  5. Step 5: Solve for x
    x = 378,537,959,426,704/9,098,170
  6. Step 6: Final answer
    x = 41,605,944.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.