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Finding the Third Proportional to 582,044,139,248 and 1,273,812,128,924

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Solution

The third proportional to 582,044,139,248 and 1,273,812,128,924 is: 2,787,756,512,573.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    582,044,139,248 : 1,273,812,128,924 = 1,273,812,128,924 : x
  2. Step 2: Convert to fraction form
    582,044,139,248/1,273,812,128,924 = 1,273,812,128,924/x
  3. Step 3: Cross multiply
    582,044,139,248x = 1,273,812,128,924 × 1,273,812,128,924
  4. Step 4: Simplify right side
    582,044,139,248x = 1,622,597,339,793,893,149,900,800
  5. Step 5: Solve for x
    x = 1,622,597,339,793,893,149,900,800/582,044,139,248
  6. Step 6: Final answer
    x = 2,787,756,512,573.58

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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.