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Finding the Third Proportional to 31,523,660 and 68,076,952

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Solution

The third proportional to 31,523,660 and 68,076,952 is: 147,015,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523,660 : 68,076,952 = 68,076,952 : x
  2. Step 2: Convert to fraction form
    31,523,660/68,076,952 = 68,076,952/x
  3. Step 3: Cross multiply
    31,523,660x = 68,076,952 × 68,076,952
  4. Step 4: Simplify right side
    31,523,660x = 4,634,471,393,610,304
  5. Step 5: Solve for x
    x = 4,634,471,393,610,304/31,523,660
  6. Step 6: Final answer
    x = 147,015,650.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.