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Finding the Third Proportional to 24,517,062,465 and 35,059,441,077

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Solution

The third proportional to 24,517,062,465 and 35,059,441,077 is: 50,135,060,445.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,517,062,465 : 35,059,441,077 = 35,059,441,077 : x
  2. Step 2: Convert to fraction form
    24,517,062,465/35,059,441,077 = 35,059,441,077/x
  3. Step 3: Cross multiply
    24,517,062,465x = 35,059,441,077 × 35,059,441,077
  4. Step 4: Simplify right side
    24,517,062,465x = 1,229,164,408,631,634,952,192
  5. Step 5: Solve for x
    x = 1,229,164,408,631,634,952,192/24,517,062,465
  6. Step 6: Final answer
    x = 50,135,060,445.61

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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.