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Finding the Third Proportional to 1,434,783,570,993 and 3,162,021,729,024

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Solution

The third proportional to 1,434,783,570,993 and 3,162,021,729,024 is: 6,968,564,191,113.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,434,783,570,993 : 3,162,021,729,024 = 3,162,021,729,024 : x
  2. Step 2: Convert to fraction form
    1,434,783,570,993/3,162,021,729,024 = 3,162,021,729,024/x
  3. Step 3: Cross multiply
    1,434,783,570,993x = 3,162,021,729,024 × 3,162,021,729,024
  4. Step 4: Simplify right side
    1,434,783,570,993x = 9,998,381,414,819,925,806,022,656
  5. Step 5: Solve for x
    x = 9,998,381,414,819,925,806,022,656/1,434,783,570,993
  6. Step 6: Final answer
    x = 6,968,564,191,113.61

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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.