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Finding the Third Proportional to 641,580,163,708 and 1,359,651,660,214

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Solution

The third proportional to 641,580,163,708 and 1,359,651,660,214 is: 2,881,405,538,535.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,580,163,708 : 1,359,651,660,214 = 1,359,651,660,214 : x
  2. Step 2: Convert to fraction form
    641,580,163,708/1,359,651,660,214 = 1,359,651,660,214/x
  3. Step 3: Cross multiply
    641,580,163,708x = 1,359,651,660,214 × 1,359,651,660,214
  4. Step 4: Simplify right side
    641,580,163,708x = 1,848,652,637,122,686,418,419,712
  5. Step 5: Solve for x
    x = 1,848,652,637,122,686,418,419,712/641,580,163,708
  6. Step 6: Final answer
    x = 2,881,405,538,535.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.