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Finding the Third Proportional to 8,362,143 and 17,729,091

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Solution

The third proportional to 8,362,143 and 17,729,091 is: 37,588,530.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362,143 : 17,729,091 = 17,729,091 : x
  2. Step 2: Convert to fraction form
    8,362,143/17,729,091 = 17,729,091/x
  3. Step 3: Cross multiply
    8,362,143x = 17,729,091 × 17,729,091
  4. Step 4: Simplify right side
    8,362,143x = 314,320,667,686,281
  5. Step 5: Solve for x
    x = 314,320,667,686,281/8,362,143
  6. Step 6: Final answer
    x = 37,588,530.56

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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.