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Finding the Third Proportional to 39,632,283,655,808 and 80,394,632,773,956

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Solution

The third proportional to 39,632,283,655,808 and 80,394,632,773,956 is: 163,081,618,889,050.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,632,283,655,808 : 80,394,632,773,956 = 80,394,632,773,956 : x
  2. Step 2: Convert to fraction form
    39,632,283,655,808/80,394,632,773,956 = 80,394,632,773,956/x
  3. Step 3: Cross multiply
    39,632,283,655,808x = 80,394,632,773,956 × 80,394,632,773,956
  4. Step 4: Simplify right side
    39,632,283,655,808x = 6,463,296,978,859,240,494,913,814,528
  5. Step 5: Solve for x
    x = 6,463,296,978,859,240,494,913,814,528/39,632,283,655,808
  6. Step 6: Final answer
    x = 163,081,618,889,050.88

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.