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Finding the Third Proportional to 13,588,446.09 and 20,580,569.86

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Solution

The third proportional to 13,588,446.09 and 20,580,569.86 is: 31,170,588.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,588,446.09 : 20,580,569.86 = 20,580,569.86 : x
  2. Step 2: Convert to fraction form
    13,588,446.09/20,580,569.86 = 20,580,569.86/x
  3. Step 3: Cross multiply
    13,588,446.09x = 20,580,569.86 × 20,580,569.86
  4. Step 4: Simplify right side
    13,588,446.09x = 423,559,855,736,614.69
  5. Step 5: Solve for x
    x = 423,559,855,736,614.69/13,588,446.09
  6. Step 6: Final answer
    x = 31,170,588.07

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.