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Finding the Third Proportional to 334,409,733 and 699,310,863

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Solution

The third proportional to 334,409,733 and 699,310,863 is: 1,462,384,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,409,733 : 699,310,863 = 699,310,863 : x
  2. Step 2: Convert to fraction form
    334,409,733/699,310,863 = 699,310,863/x
  3. Step 3: Cross multiply
    334,409,733x = 699,310,863 × 699,310,863
  4. Step 4: Simplify right side
    334,409,733x = 489,035,683,109,804,800
  5. Step 5: Solve for x
    x = 489,035,683,109,804,800/334,409,733
  6. Step 6: Final answer
    x = 1,462,384,718.06

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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.