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Finding the Third Proportional to 930,078,375.75 and 1,377,682,742.25

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Solution

The third proportional to 930,078,375.75 and 1,377,682,742.25 is: 2,040,698,706.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    930,078,375.75 : 1,377,682,742.25 = 1,377,682,742.25 : x
  2. Step 2: Convert to fraction form
    930,078,375.75/1,377,682,742.25 = 1,377,682,742.25/x
  3. Step 3: Cross multiply
    930,078,375.75x = 1,377,682,742.25 × 1,377,682,742.25
  4. Step 4: Simplify right side
    930,078,375.75x = 1,898,009,738,293,479,936
  5. Step 5: Solve for x
    x = 1,898,009,738,293,479,936/930,078,375.75
  6. Step 6: Final answer
    x = 2,040,698,706.45

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.