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Finding the Third Proportional to 455,504,780,224 and 979,561,463,641

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Solution

The third proportional to 455,504,780,224 and 979,561,463,641 is: 2,106,543,559,386.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,504,780,224 : 979,561,463,641 = 979,561,463,641 : x
  2. Step 2: Convert to fraction form
    455,504,780,224/979,561,463,641 = 979,561,463,641/x
  3. Step 3: Cross multiply
    455,504,780,224x = 979,561,463,641 × 979,561,463,641
  4. Step 4: Simplify right side
    455,504,780,224x = 959,540,661,050,498,130,903,040
  5. Step 5: Solve for x
    x = 959,540,661,050,498,130,903,040/455,504,780,224
  6. Step 6: Final answer
    x = 2,106,543,559,386.21

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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.