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Finding the Third Proportional to 6,837,516 and 14,590,296

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Solution

The third proportional to 6,837,516 and 14,590,296 is: 31,133,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837,516 : 14,590,296 = 14,590,296 : x
  2. Step 2: Convert to fraction form
    6,837,516/14,590,296 = 14,590,296/x
  3. Step 3: Cross multiply
    6,837,516x = 14,590,296 × 14,590,296
  4. Step 4: Simplify right side
    6,837,516x = 212,876,737,367,616
  5. Step 5: Solve for x
    x = 212,876,737,367,616/6,837,516
  6. Step 6: Final answer
    x = 31,133,636.45

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.