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Finding the Third Proportional to 4,476,383,613,923 and 6,876,272,866,973

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Solution

The third proportional to 4,476,383,613,923 and 6,876,272,866,973 is: 10,562,796,359,544.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476,383,613,923 : 6,876,272,866,973 = 6,876,272,866,973 : x
  2. Step 2: Convert to fraction form
    4,476,383,613,923/6,876,272,866,973 = 6,876,272,866,973/x
  3. Step 3: Cross multiply
    4,476,383,613,923x = 6,876,272,866,973 × 6,876,272,866,973
  4. Step 4: Simplify right side
    4,476,383,613,923x = 47,283,128,541,069,082,076,643,328
  5. Step 5: Solve for x
    x = 47,283,128,541,069,082,076,643,328/4,476,383,613,923
  6. Step 6: Final answer
    x = 10,562,796,359,544.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.