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Finding the Third Proportional to 29,978,954,277.94 and 66,660,774,859.13

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Solution

The third proportional to 29,978,954,277.94 and 66,660,774,859.13 is: 148,225,947,563.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978,954,277.94 : 66,660,774,859.13 = 66,660,774,859.13 : x
  2. Step 2: Convert to fraction form
    29,978,954,277.94/66,660,774,859.13 = 66,660,774,859.13/x
  3. Step 3: Cross multiply
    29,978,954,277.94x = 66,660,774,859.13 × 66,660,774,859.13
  4. Step 4: Simplify right side
    29,978,954,277.94x = 4,443,658,904,818,951,913,472
  5. Step 5: Solve for x
    x = 4,443,658,904,818,951,913,472/29,978,954,277.94
  6. Step 6: Final answer
    x = 148,225,947,563.79

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.