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Finding the Third Proportional to 1,778,686,108 and 3,863,566,620

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Solution

The third proportional to 1,778,686,108 and 3,863,566,620 is: 8,392,232,311.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778,686,108 : 3,863,566,620 = 3,863,566,620 : x
  2. Step 2: Convert to fraction form
    1,778,686,108/3,863,566,620 = 3,863,566,620/x
  3. Step 3: Cross multiply
    1,778,686,108x = 3,863,566,620 × 3,863,566,620
  4. Step 4: Simplify right side
    1,778,686,108x = 14,927,147,027,178,223,616
  5. Step 5: Solve for x
    x = 14,927,147,027,178,223,616/1,778,686,108
  6. Step 6: Final answer
    x = 8,392,232,311.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.