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Finding the Third Proportional to 30,441,096 and 45,919,692

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Solution

The third proportional to 30,441,096 and 45,919,692 is: 69,268,797.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,441,096 : 45,919,692 = 45,919,692 : x
  2. Step 2: Convert to fraction form
    30,441,096/45,919,692 = 45,919,692/x
  3. Step 3: Cross multiply
    30,441,096x = 45,919,692 × 45,919,692
  4. Step 4: Simplify right side
    30,441,096x = 2,108,618,113,374,864
  5. Step 5: Solve for x
    x = 2,108,618,113,374,864/30,441,096
  6. Step 6: Final answer
    x = 69,268,797.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.