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Finding the Third Proportional to 585,995,375,370 and 1,220,147,615,778

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Solution

The third proportional to 585,995,375,370 and 1,220,147,615,778 is: 2,540,566,473,496.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,995,375,370 : 1,220,147,615,778 = 1,220,147,615,778 : x
  2. Step 2: Convert to fraction form
    585,995,375,370/1,220,147,615,778 = 1,220,147,615,778/x
  3. Step 3: Cross multiply
    585,995,375,370x = 1,220,147,615,778 × 1,220,147,615,778
  4. Step 4: Simplify right side
    585,995,375,370x = 1,488,760,204,288,738,017,148,928
  5. Step 5: Solve for x
    x = 1,488,760,204,288,738,017,148,928/585,995,375,370
  6. Step 6: Final answer
    x = 2,540,566,473,496.02

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.