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Finding the Third Proportional to 569,114,111 and 1,269,086,001

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Solution

The third proportional to 569,114,111 and 1,269,086,001 is: 2,829,976,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,114,111 : 1,269,086,001 = 1,269,086,001 : x
  2. Step 2: Convert to fraction form
    569,114,111/1,269,086,001 = 1,269,086,001/x
  3. Step 3: Cross multiply
    569,114,111x = 1,269,086,001 × 1,269,086,001
  4. Step 4: Simplify right side
    569,114,111x = 1,610,579,277,934,171,904
  5. Step 5: Solve for x
    x = 1,610,579,277,934,171,904/569,114,111
  6. Step 6: Final answer
    x = 2,829,976,004.47

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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.