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Finding the Third Proportional to 8,021,123 and 17,320,692

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Solution

The third proportional to 8,021,123 and 17,320,692 is: 37,402,041.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,123 : 17,320,692 = 17,320,692 : x
  2. Step 2: Convert to fraction form
    8,021,123/17,320,692 = 17,320,692/x
  3. Step 3: Cross multiply
    8,021,123x = 17,320,692 × 17,320,692
  4. Step 4: Simplify right side
    8,021,123x = 300,006,371,358,864
  5. Step 5: Solve for x
    x = 300,006,371,358,864/8,021,123
  6. Step 6: Final answer
    x = 37,402,041.01

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