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Finding the Third Proportional to 543,725,023,275 and 852,944,107,293

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Solution

The third proportional to 543,725,023,275 and 852,944,107,293 is: 1,338,017,599,013.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,725,023,275 : 852,944,107,293 = 852,944,107,293 : x
  2. Step 2: Convert to fraction form
    543,725,023,275/852,944,107,293 = 852,944,107,293/x
  3. Step 3: Cross multiply
    543,725,023,275x = 852,944,107,293 × 852,944,107,293
  4. Step 4: Simplify right side
    543,725,023,275x = 727,513,650,165,852,716,138,496
  5. Step 5: Solve for x
    x = 727,513,650,165,852,716,138,496/543,725,023,275
  6. Step 6: Final answer
    x = 1,338,017,599,013.28

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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.