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Finding the Third Proportional to 31,523,624 and 68,076,880

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Solution

The third proportional to 31,523,624 and 68,076,880 is: 147,015,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523,624 : 68,076,880 = 68,076,880 : x
  2. Step 2: Convert to fraction form
    31,523,624/68,076,880 = 68,076,880/x
  3. Step 3: Cross multiply
    31,523,624x = 68,076,880 × 68,076,880
  4. Step 4: Simplify right side
    31,523,624x = 4,634,461,590,534,400
  5. Step 5: Solve for x
    x = 4,634,461,590,534,400/31,523,624
  6. Step 6: Final answer
    x = 147,015,507.82

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