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Finding the Third Proportional to 582,044,139,250 and 1,273,812,128,927

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Solution

The third proportional to 582,044,139,250 and 1,273,812,128,927 is: 2,787,756,512,577.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,044,139,250 : 1,273,812,128,927 = 1,273,812,128,927 : x
  2. Step 2: Convert to fraction form
    582,044,139,250/1,273,812,128,927 = 1,273,812,128,927/x
  3. Step 3: Cross multiply
    582,044,139,250x = 1,273,812,128,927 × 1,273,812,128,927
  4. Step 4: Simplify right side
    582,044,139,250x = 1,622,597,339,801,536,044,204,032
  5. Step 5: Solve for x
    x = 1,622,597,339,801,536,044,204,032/582,044,139,250
  6. Step 6: Final answer
    x = 2,787,756,512,577.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.