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Finding the Third Proportional to 10,292,401.69 and 13,721,321.53

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Solution

The third proportional to 10,292,401.69 and 13,721,321.53 is: 18,292,588.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292,401.69 : 13,721,321.53 = 13,721,321.53 : x
  2. Step 2: Convert to fraction form
    10,292,401.69/13,721,321.53 = 13,721,321.53/x
  3. Step 3: Cross multiply
    10,292,401.69x = 13,721,321.53 × 13,721,321.53
  4. Step 4: Simplify right side
    10,292,401.69x = 188,274,664,563,944.84
  5. Step 5: Solve for x
    x = 188,274,664,563,944.84/10,292,401.69
  6. Step 6: Final answer
    x = 18,292,588.09

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.