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Finding the Third Proportional to 12,808,180.13 and 19,674,768.38

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Solution

The third proportional to 12,808,180.13 and 19,674,768.38 is: 30,222,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,808,180.13 : 19,674,768.38 = 19,674,768.38 : x
  2. Step 2: Convert to fraction form
    12,808,180.13/19,674,768.38 = 19,674,768.38/x
  3. Step 3: Cross multiply
    12,808,180.13x = 19,674,768.38 × 19,674,768.38
  4. Step 4: Simplify right side
    12,808,180.13x = 387,096,510,609,900.12
  5. Step 5: Solve for x
    x = 387,096,510,609,900.12/12,808,180.13
  6. Step 6: Final answer
    x = 30,222,600.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.