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Finding the Third Proportional to 598,113,510,135 and 1,286,941,978,608

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Solution

The third proportional to 598,113,510,135 and 1,286,941,978,608 is: 2,769,072,472,430.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    598,113,510,135 : 1,286,941,978,608 = 1,286,941,978,608 : x
  2. Step 2: Convert to fraction form
    598,113,510,135/1,286,941,978,608 = 1,286,941,978,608/x
  3. Step 3: Cross multiply
    598,113,510,135x = 1,286,941,978,608 × 1,286,941,978,608
  4. Step 4: Simplify right side
    598,113,510,135x = 1,656,219,656,303,473,896,456,192
  5. Step 5: Solve for x
    x = 1,656,219,656,303,473,896,456,192/598,113,510,135
  6. Step 6: Final answer
    x = 2,769,072,472,430.27

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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.