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Finding the Third Proportional to 569,114,125.31 and 1,269,085,922.44

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Solution

The third proportional to 569,114,125.31 and 1,269,085,922.44 is: 2,829,975,582.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,114,125.31 : 1,269,085,922.44 = 1,269,085,922.44 : x
  2. Step 2: Convert to fraction form
    569,114,125.31/1,269,085,922.44 = 1,269,085,922.44/x
  3. Step 3: Cross multiply
    569,114,125.31x = 1,269,085,922.44 × 1,269,085,922.44
  4. Step 4: Simplify right side
    569,114,125.31x = 1,610,579,078,529,040,384
  5. Step 5: Solve for x
    x = 1,610,579,078,529,040,384/569,114,125.31
  6. Step 6: Final answer
    x = 2,829,975,582.92

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.