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Finding the Third Proportional to 30,862,682 and 65,977,108

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Solution

The third proportional to 30,862,682 and 65,977,108 is: 141,043,438.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862,682 : 65,977,108 = 65,977,108 : x
  2. Step 2: Convert to fraction form
    30,862,682/65,977,108 = 65,977,108/x
  3. Step 3: Cross multiply
    30,862,682x = 65,977,108 × 65,977,108
  4. Step 4: Simplify right side
    30,862,682x = 4,352,978,780,043,664
  5. Step 5: Solve for x
    x = 4,352,978,780,043,664/30,862,682
  6. Step 6: Final answer
    x = 141,043,438.16

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.