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Finding the Third Proportional to 7,352,816 and 16,156,984

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Solution

The third proportional to 7,352,816 and 16,156,984 is: 35,503,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352,816 : 16,156,984 = 16,156,984 : x
  2. Step 2: Convert to fraction form
    7,352,816/16,156,984 = 16,156,984/x
  3. Step 3: Cross multiply
    7,352,816x = 16,156,984 × 16,156,984
  4. Step 4: Simplify right side
    7,352,816x = 261,048,131,976,256
  5. Step 5: Solve for x
    x = 261,048,131,976,256/7,352,816
  6. Step 6: Final answer
    x = 35,503,150.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.