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Finding the Third Proportional to 8,362,156 and 17,729,120

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Solution

The third proportional to 8,362,156 and 17,729,120 is: 37,588,595.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,362,156 : 17,729,120 = 17,729,120 : x
  2. Step 2: Convert to fraction form
    8,362,156/17,729,120 = 17,729,120/x
  3. Step 3: Cross multiply
    8,362,156x = 17,729,120 × 17,729,120
  4. Step 4: Simplify right side
    8,362,156x = 314,321,695,974,400
  5. Step 5: Solve for x
    x = 314,321,695,974,400/8,362,156
  6. Step 6: Final answer
    x = 37,588,595.09

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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.