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Finding the Third Proportional to 6,589,554,297 and 10,038,505,128

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Solution

The third proportional to 6,589,554,297 and 10,038,505,128 is: 15,292,625,367.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,589,554,297 : 10,038,505,128 = 10,038,505,128 : x
  2. Step 2: Convert to fraction form
    6,589,554,297/10,038,505,128 = 10,038,505,128/x
  3. Step 3: Cross multiply
    6,589,554,297x = 10,038,505,128 × 10,038,505,128
  4. Step 4: Simplify right side
    6,589,554,297x = 100,771,585,204,882,292,736
  5. Step 5: Solve for x
    x = 100,771,585,204,882,292,736/6,589,554,297
  6. Step 6: Final answer
    x = 15,292,625,367.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.