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Finding the Third Proportional to 5,977,868 and 9,516,611

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Solution

The third proportional to 5,977,868 and 9,516,611 is: 15,150,198.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,868 : 9,516,611 = 9,516,611 : x
  2. Step 2: Convert to fraction form
    5,977,868/9,516,611 = 9,516,611/x
  3. Step 3: Cross multiply
    5,977,868x = 9,516,611 × 9,516,611
  4. Step 4: Simplify right side
    5,977,868x = 90,565,884,925,321
  5. Step 5: Solve for x
    x = 90,565,884,925,321/5,977,868
  6. Step 6: Final answer
    x = 15,150,198.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.