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Finding the Third Proportional to 265,251,005,103 and 576,976,730,745

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Solution

The third proportional to 265,251,005,103 and 576,976,730,745 is: 1,255,045,754,461.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,251,005,103 : 576,976,730,745 = 576,976,730,745 : x
  2. Step 2: Convert to fraction form
    265,251,005,103/576,976,730,745 = 576,976,730,745/x
  3. Step 3: Cross multiply
    265,251,005,103x = 576,976,730,745 × 576,976,730,745
  4. Step 4: Simplify right side
    265,251,005,103x = 332,902,147,821,188,220,452,864
  5. Step 5: Solve for x
    x = 332,902,147,821,188,220,452,864/265,251,005,103
  6. Step 6: Final answer
    x = 1,255,045,754,461.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.