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Finding the Third Proportional to 2,708,414,879 and 3,814,044,975.50

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Solution

The third proportional to 2,708,414,879 and 3,814,044,975.50 is: 5,371,015,787.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,708,414,879 : 3,814,044,975.50 = 3,814,044,975.50 : x
  2. Step 2: Convert to fraction form
    2,708,414,879/3,814,044,975.50 = 3,814,044,975.50/x
  3. Step 3: Cross multiply
    2,708,414,879x = 3,814,044,975.50 × 3,814,044,975.50
  4. Step 4: Simplify right side
    2,708,414,879x = 14,546,939,075,136,794,624
  5. Step 5: Solve for x
    x = 14,546,939,075,136,794,624/2,708,414,879
  6. Step 6: Final answer
    x = 5,371,015,787.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.