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Finding the Third Proportional to 5,993,539 and 12,946,155

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Solution

The third proportional to 5,993,539 and 12,946,155 is: 27,963,934.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,993,539 : 12,946,155 = 12,946,155 : x
  2. Step 2: Convert to fraction form
    5,993,539/12,946,155 = 12,946,155/x
  3. Step 3: Cross multiply
    5,993,539x = 12,946,155 × 12,946,155
  4. Step 4: Simplify right side
    5,993,539x = 167,602,929,284,025
  5. Step 5: Solve for x
    x = 167,602,929,284,025/5,993,539
  6. Step 6: Final answer
    x = 27,963,934.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.