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Finding the Third Proportional to 7,734,988 and 16,392,050

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Solution

The third proportional to 7,734,988 and 16,392,050 is: 34,738,166.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,734,988 : 16,392,050 = 16,392,050 : x
  2. Step 2: Convert to fraction form
    7,734,988/16,392,050 = 16,392,050/x
  3. Step 3: Cross multiply
    7,734,988x = 16,392,050 × 16,392,050
  4. Step 4: Simplify right side
    7,734,988x = 268,699,303,202,500
  5. Step 5: Solve for x
    x = 268,699,303,202,500/7,734,988
  6. Step 6: Final answer
    x = 34,738,166.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.