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Finding the Third Proportional to 30,620,025,648 and 48,033,741,686.62

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Solution

The third proportional to 30,620,025,648 and 48,033,741,686.62 is: 75,350,699,145.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,620,025,648 : 48,033,741,686.62 = 48,033,741,686.62 : x
  2. Step 2: Convert to fraction form
    30,620,025,648/48,033,741,686.62 = 48,033,741,686.62/x
  3. Step 3: Cross multiply
    30,620,025,648x = 48,033,741,686.62 × 48,033,741,686.62
  4. Step 4: Simplify right side
    30,620,025,648x = 2,307,240,340,417,320,321,024
  5. Step 5: Solve for x
    x = 2,307,240,340,417,320,321,024/30,620,025,648
  6. Step 6: Final answer
    x = 75,350,699,145.09

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.