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Finding the Third Proportional to 706,486,923,466 and 1,540,840,544,941

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Solution

The third proportional to 706,486,923,466 and 1,540,840,544,941 is: 3,360,557,012,557.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,486,923,466 : 1,540,840,544,941 = 1,540,840,544,941 : x
  2. Step 2: Convert to fraction form
    706,486,923,466/1,540,840,544,941 = 1,540,840,544,941/x
  3. Step 3: Cross multiply
    706,486,923,466x = 1,540,840,544,941 × 1,540,840,544,941
  4. Step 4: Simplify right side
    706,486,923,466x = 2,374,189,584,934,077,919,657,984
  5. Step 5: Solve for x
    x = 2,374,189,584,934,077,919,657,984/706,486,923,466
  6. Step 6: Final answer
    x = 3,360,557,012,557.84

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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.