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Finding the Third Proportional to 37,139,243,518 and 81,574,571,634

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Solution

The third proportional to 37,139,243,518 and 81,574,571,634 is: 179,174,644,040.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,139,243,518 : 81,574,571,634 = 81,574,571,634 : x
  2. Step 2: Convert to fraction form
    37,139,243,518/81,574,571,634 = 81,574,571,634/x
  3. Step 3: Cross multiply
    37,139,243,518x = 81,574,571,634 × 81,574,571,634
  4. Step 4: Simplify right side
    37,139,243,518x = 6,654,410,737,270,597,353,472
  5. Step 5: Solve for x
    x = 6,654,410,737,270,597,353,472/37,139,243,518
  6. Step 6: Final answer
    x = 179,174,644,040.49

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.