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Finding the Third Proportional to 24,517,062,461 and 35,059,441,071

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Solution

The third proportional to 24,517,062,461 and 35,059,441,071 is: 50,135,060,436.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517,062,461 : 35,059,441,071 = 35,059,441,071 : x
  2. Step 2: Convert to fraction form
    24,517,062,461/35,059,441,071 = 35,059,441,071/x
  3. Step 3: Cross multiply
    24,517,062,461x = 35,059,441,071 × 35,059,441,071
  4. Step 4: Simplify right side
    24,517,062,461x = 1,229,164,408,210,921,619,456
  5. Step 5: Solve for x
    x = 1,229,164,408,210,921,619,456/24,517,062,461
  6. Step 6: Final answer
    x = 50,135,060,436.63

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.