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Finding the Third Proportional to 2,253,083,256 and 4,569,839,559

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Solution

The third proportional to 2,253,083,256 and 4,569,839,559 is: 9,268,824,638.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,253,083,256 : 4,569,839,559 = 4,569,839,559 : x
  2. Step 2: Convert to fraction form
    2,253,083,256/4,569,839,559 = 4,569,839,559/x
  3. Step 3: Cross multiply
    2,253,083,256x = 4,569,839,559 × 4,569,839,559
  4. Step 4: Simplify right side
    2,253,083,256x = 20,883,433,595,001,315,328
  5. Step 5: Solve for x
    x = 20,883,433,595,001,315,328/2,253,083,256
  6. Step 6: Final answer
    x = 9,268,824,638.14

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.