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Finding the Third Proportional to 901,218,046,474.40 and 1,933,262,617,890.60

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Solution

The third proportional to 901,218,046,474.40 and 1,933,262,617,890.60 is: 4,147,169,893,406.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    901,218,046,474.40 : 1,933,262,617,890.60 = 1,933,262,617,890.60 : x
  2. Step 2: Convert to fraction form
    901,218,046,474.40/1,933,262,617,890.60 = 1,933,262,617,890.60/x
  3. Step 3: Cross multiply
    901,218,046,474.40x = 1,933,262,617,890.60 × 1,933,262,617,890.60
  4. Step 4: Simplify right side
    901,218,046,474.40x = 3,737,504,349,733,216,464,142,336
  5. Step 5: Solve for x
    x = 3,737,504,349,733,216,464,142,336/901,218,046,474.40
  6. Step 6: Final answer
    x = 4,147,169,893,406.46

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.