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Finding the Third Proportional to 7,620,716 and 16,437,946

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Solution

The third proportional to 7,620,716 and 16,437,946 is: 35,456,782.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,620,716 : 16,437,946 = 16,437,946 : x
  2. Step 2: Convert to fraction form
    7,620,716/16,437,946 = 16,437,946/x
  3. Step 3: Cross multiply
    7,620,716x = 16,437,946 × 16,437,946
  4. Step 4: Simplify right side
    7,620,716x = 270,206,068,698,916
  5. Step 5: Solve for x
    x = 270,206,068,698,916/7,620,716
  6. Step 6: Final answer
    x = 35,456,782.37

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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.