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Finding the Third Proportional to 231,263,440 and 500,632,632

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Solution

The third proportional to 231,263,440 and 500,632,632 is: 1,083,755,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,263,440 : 500,632,632 = 500,632,632 : x
  2. Step 2: Convert to fraction form
    231,263,440/500,632,632 = 500,632,632/x
  3. Step 3: Cross multiply
    231,263,440x = 500,632,632 × 500,632,632
  4. Step 4: Simplify right side
    231,263,440x = 250,633,032,223,247,424
  5. Step 5: Solve for x
    x = 250,633,032,223,247,424/231,263,440
  6. Step 6: Final answer
    x = 1,083,755,531.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.