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Finding the Third Proportional to 29,978,954,929.50 and 66,660,776,146.50

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Solution

The third proportional to 29,978,954,929.50 and 66,660,776,146.50 is: 148,225,950,067.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,978,954,929.50 : 66,660,776,146.50 = 66,660,776,146.50 : x
  2. Step 2: Convert to fraction form
    29,978,954,929.50/66,660,776,146.50 = 66,660,776,146.50/x
  3. Step 3: Cross multiply
    29,978,954,929.50x = 66,660,776,146.50 × 66,660,776,146.50
  4. Step 4: Simplify right side
    29,978,954,929.50x = 4,443,659,076,453,783,306,240
  5. Step 5: Solve for x
    x = 4,443,659,076,453,783,306,240/29,978,954,929.50
  6. Step 6: Final answer
    x = 148,225,950,067.43

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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.