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Finding the Third Proportional to 5,977,121.63 and 8,966,978.44

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Solution

The third proportional to 5,977,121.63 and 8,966,978.44 is: 13,452,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,977,121.63 : 8,966,978.44 = 8,966,978.44 : x
  2. Step 2: Convert to fraction form
    5,977,121.63/8,966,978.44 = 8,966,978.44/x
  3. Step 3: Cross multiply
    5,977,121.63x = 8,966,978.44 × 8,966,978.44
  4. Step 4: Simplify right side
    5,977,121.63x = 80,406,702,298,589.94
  5. Step 5: Solve for x
    x = 80,406,702,298,589.94/5,977,121.63
  6. Step 6: Final answer
    x = 13,452,411.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.