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Finding the Third Proportional to 583,570,680 and 1,263,981,936

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Solution

The third proportional to 583,570,680 and 1,263,981,936 is: 2,737,715,223.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,570,680 : 1,263,981,936 = 1,263,981,936 : x
  2. Step 2: Convert to fraction form
    583,570,680/1,263,981,936 = 1,263,981,936/x
  3. Step 3: Cross multiply
    583,570,680x = 1,263,981,936 × 1,263,981,936
  4. Step 4: Simplify right side
    583,570,680x = 1,597,650,334,534,308,096
  5. Step 5: Solve for x
    x = 1,597,650,334,534,308,096/583,570,680
  6. Step 6: Final answer
    x = 2,737,715,223.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.