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Finding the Third Proportional to 42,147,658,765 and 91,012,923,371

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Solution

The third proportional to 42,147,658,765 and 91,012,923,371 is: 196,531,728,291.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147,658,765 : 91,012,923,371 = 91,012,923,371 : x
  2. Step 2: Convert to fraction form
    42,147,658,765/91,012,923,371 = 91,012,923,371/x
  3. Step 3: Cross multiply
    42,147,658,765x = 91,012,923,371 × 91,012,923,371
  4. Step 4: Simplify right side
    42,147,658,765x = 8,283,352,220,535,517,872,128
  5. Step 5: Solve for x
    x = 8,283,352,220,535,517,872,128/42,147,658,765
  6. Step 6: Final answer
    x = 196,531,728,291.73

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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.