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Finding the Third Proportional to 543,725,023,274 and 852,944,107,292

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Solution

The third proportional to 543,725,023,274 and 852,944,107,292 is: 1,338,017,599,012.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,725,023,274 : 852,944,107,292 = 852,944,107,292 : x
  2. Step 2: Convert to fraction form
    543,725,023,274/852,944,107,292 = 852,944,107,292/x
  3. Step 3: Cross multiply
    543,725,023,274x = 852,944,107,292 × 852,944,107,292
  4. Step 4: Simplify right side
    543,725,023,274x = 727,513,650,164,146,808,815,616
  5. Step 5: Solve for x
    x = 727,513,650,164,146,808,815,616/543,725,023,274
  6. Step 6: Final answer
    x = 1,338,017,599,012.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.