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Finding the Third Proportional to 3,994,433,564 and 8,684,119,640

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Solution

The third proportional to 3,994,433,564 and 8,684,119,640 is: 18,879,756,719.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994,433,564 : 8,684,119,640 = 8,684,119,640 : x
  2. Step 2: Convert to fraction form
    3,994,433,564/8,684,119,640 = 8,684,119,640/x
  3. Step 3: Cross multiply
    3,994,433,564x = 8,684,119,640 × 8,684,119,640
  4. Step 4: Simplify right side
    3,994,433,564x = 75,413,933,921,833,730,048
  5. Step 5: Solve for x
    x = 75,413,933,921,833,730,048/3,994,433,564
  6. Step 6: Final answer
    x = 18,879,756,719.83

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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.