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Finding the Third Proportional to 468,603,255.75 and 975,992,524.50

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Solution

The third proportional to 468,603,255.75 and 975,992,524.50 is: 2,032,767,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,603,255.75 : 975,992,524.50 = 975,992,524.50 : x
  2. Step 2: Convert to fraction form
    468,603,255.75/975,992,524.50 = 975,992,524.50/x
  3. Step 3: Cross multiply
    468,603,255.75x = 975,992,524.50 × 975,992,524.50
  4. Step 4: Simplify right side
    468,603,255.75x = 952,561,407,879,883,136
  5. Step 5: Solve for x
    x = 952,561,407,879,883,136/468,603,255.75
  6. Step 6: Final answer
    x = 2,032,767,370.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.