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Finding the Third Proportional to 61,224,576,030 and 95,060,324,400

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Solution

The third proportional to 61,224,576,030 and 95,060,324,400 is: 147,595,391,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,224,576,030 : 95,060,324,400 = 95,060,324,400 : x
  2. Step 2: Convert to fraction form
    61,224,576,030/95,060,324,400 = 95,060,324,400/x
  3. Step 3: Cross multiply
    61,224,576,030x = 95,060,324,400 × 95,060,324,400
  4. Step 4: Simplify right side
    61,224,576,030x = 9,036,465,275,033,235,750,912
  5. Step 5: Solve for x
    x = 9,036,465,275,033,235,750,912/61,224,576,030
  6. Step 6: Final answer
    x = 147,595,391,605.58

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.