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Finding the Third Proportional to 12,745,039.50 and 19,483,292.81

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Solution

The third proportional to 12,745,039.50 and 19,483,292.81 is: 29,784,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,745,039.50 : 19,483,292.81 = 19,483,292.81 : x
  2. Step 2: Convert to fraction form
    12,745,039.50/19,483,292.81 = 19,483,292.81/x
  3. Step 3: Cross multiply
    12,745,039.50x = 19,483,292.81 × 19,483,292.81
  4. Step 4: Simplify right side
    12,745,039.50x = 379,598,698,817,614.19
  5. Step 5: Solve for x
    x = 379,598,698,817,614.19/12,745,039.50
  6. Step 6: Final answer
    x = 29,784,034.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.