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Finding the Third Proportional to 16,108,229,020 and 32,675,764,224

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Solution

The third proportional to 16,108,229,020 and 32,675,764,224 is: 66,283,237,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,108,229,020 : 32,675,764,224 = 32,675,764,224 : x
  2. Step 2: Convert to fraction form
    16,108,229,020/32,675,764,224 = 32,675,764,224/x
  3. Step 3: Cross multiply
    16,108,229,020x = 32,675,764,224 × 32,675,764,224
  4. Step 4: Simplify right side
    16,108,229,020x = 1,067,705,567,622,438,322,176
  5. Step 5: Solve for x
    x = 1,067,705,567,622,438,322,176/16,108,229,020
  6. Step 6: Final answer
    x = 66,283,237,362.52

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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.