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Finding the Third Proportional to 3,363,199,116 and 7,857,950,970

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Solution

The third proportional to 3,363,199,116 and 7,857,950,970 is: 18,359,719,813.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,363,199,116 : 7,857,950,970 = 7,857,950,970 : x
  2. Step 2: Convert to fraction form
    3,363,199,116/7,857,950,970 = 7,857,950,970/x
  3. Step 3: Cross multiply
    3,363,199,116x = 7,857,950,970 × 7,857,950,970
  4. Step 4: Simplify right side
    3,363,199,116x = 61,747,393,446,923,943,936
  5. Step 5: Solve for x
    x = 61,747,393,446,923,943,936/3,363,199,116
  6. Step 6: Final answer
    x = 18,359,719,813.55

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.