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Finding the Third Proportional to 2,877,684,901 and 6,297,814,855

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Solution

The third proportional to 2,877,684,901 and 6,297,814,855 is: 13,782,770,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,684,901 : 6,297,814,855 = 6,297,814,855 : x
  2. Step 2: Convert to fraction form
    2,877,684,901/6,297,814,855 = 6,297,814,855/x
  3. Step 3: Cross multiply
    2,877,684,901x = 6,297,814,855 × 6,297,814,855
  4. Step 4: Simplify right side
    2,877,684,901x = 39,662,471,947,858,673,664
  5. Step 5: Solve for x
    x = 39,662,471,947,858,673,664/2,877,684,901
  6. Step 6: Final answer
    x = 13,782,770,981.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.