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Finding the Third Proportional to 51,386,515.50 and 75,660,408.75

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Solution

The third proportional to 51,386,515.50 and 75,660,408.75 is: 111,400,771.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,386,515.50 : 75,660,408.75 = 75,660,408.75 : x
  2. Step 2: Convert to fraction form
    51,386,515.50/75,660,408.75 = 75,660,408.75/x
  3. Step 3: Cross multiply
    51,386,515.50x = 75,660,408.75 × 75,660,408.75
  4. Step 4: Simplify right side
    51,386,515.50x = 5,724,497,452,217,077
  5. Step 5: Solve for x
    x = 5,724,497,452,217,077/51,386,515.50
  6. Step 6: Final answer
    x = 111,400,771.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.