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Finding the Third Proportional to 334,409,769 and 699,310,935

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Solution

The third proportional to 334,409,769 and 699,310,935 is: 1,462,384,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409,769 : 699,310,935 = 699,310,935 : x
  2. Step 2: Convert to fraction form
    334,409,769/699,310,935 = 699,310,935/x
  3. Step 3: Cross multiply
    334,409,769x = 699,310,935 × 699,310,935
  4. Step 4: Simplify right side
    334,409,769x = 489,035,783,810,574,208
  5. Step 5: Solve for x
    x = 489,035,783,810,574,208/334,409,769
  6. Step 6: Final answer
    x = 1,462,384,861.76

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.