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Finding the Third Proportional to 5,465,766 and 8,154,489

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Solution

The third proportional to 5,465,766 and 8,154,489 is: 12,165,850.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,465,766 : 8,154,489 = 8,154,489 : x
  2. Step 2: Convert to fraction form
    5,465,766/8,154,489 = 8,154,489/x
  3. Step 3: Cross multiply
    5,465,766x = 8,154,489 × 8,154,489
  4. Step 4: Simplify right side
    5,465,766x = 66,495,690,851,121
  5. Step 5: Solve for x
    x = 66,495,690,851,121/5,465,766
  6. Step 6: Final answer
    x = 12,165,850.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.