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Finding the Third Proportional to 30,756,096 and 43,262,258

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Solution

The third proportional to 30,756,096 and 43,262,258 is: 60,853,723.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,756,096 : 43,262,258 = 43,262,258 : x
  2. Step 2: Convert to fraction form
    30,756,096/43,262,258 = 43,262,258/x
  3. Step 3: Cross multiply
    30,756,096x = 43,262,258 × 43,262,258
  4. Step 4: Simplify right side
    30,756,096x = 1,871,622,967,258,564
  5. Step 5: Solve for x
    x = 1,871,622,967,258,564/30,756,096
  6. Step 6: Final answer
    x = 60,853,723.67

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.