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Finding the Third Proportional to 23,030,001,648 and 35,383,052,472

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Solution

The third proportional to 23,030,001,648 and 35,383,052,472 is: 54,362,149,919.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,030,001,648 : 35,383,052,472 = 35,383,052,472 : x
  2. Step 2: Convert to fraction form
    23,030,001,648/35,383,052,472 = 35,383,052,472/x
  3. Step 3: Cross multiply
    23,030,001,648x = 35,383,052,472 × 35,383,052,472
  4. Step 4: Simplify right side
    23,030,001,648x = 1,251,960,402,236,305,309,696
  5. Step 5: Solve for x
    x = 1,251,960,402,236,305,309,696/23,030,001,648
  6. Step 6: Final answer
    x = 54,362,149,919.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.