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Finding the Third Proportional to 2,877,684,899 and 6,297,814,851

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Solution

The third proportional to 2,877,684,899 and 6,297,814,851 is: 13,782,770,973.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,877,684,899 : 6,297,814,851 = 6,297,814,851 : x
  2. Step 2: Convert to fraction form
    2,877,684,899/6,297,814,851 = 6,297,814,851/x
  3. Step 3: Cross multiply
    2,877,684,899x = 6,297,814,851 × 6,297,814,851
  4. Step 4: Simplify right side
    2,877,684,899x = 39,662,471,897,476,153,344
  5. Step 5: Solve for x
    x = 39,662,471,897,476,153,344/2,877,684,899
  6. Step 6: Final answer
    x = 13,782,770,973.73

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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.