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Finding the Third Proportional to 455,504,780,235 and 979,561,463,664

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Solution

The third proportional to 455,504,780,235 and 979,561,463,664 is: 2,106,543,559,434.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,504,780,235 : 979,561,463,664 = 979,561,463,664 : x
  2. Step 2: Convert to fraction form
    455,504,780,235/979,561,463,664 = 979,561,463,664/x
  3. Step 3: Cross multiply
    455,504,780,235x = 979,561,463,664 × 979,561,463,664
  4. Step 4: Simplify right side
    455,504,780,235x = 959,540,661,095,557,974,982,656
  5. Step 5: Solve for x
    x = 959,540,661,095,557,974,982,656/455,504,780,235
  6. Step 6: Final answer
    x = 2,106,543,559,434.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.