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Finding the Third Proportional to 455,504,780,454 and 979,561,464,060

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Solution

The third proportional to 455,504,780,454 and 979,561,464,060 is: 2,106,543,560,124.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,504,780,454 : 979,561,464,060 = 979,561,464,060 : x
  2. Step 2: Convert to fraction form
    455,504,780,454/979,561,464,060 = 979,561,464,060/x
  3. Step 3: Cross multiply
    455,504,780,454x = 979,561,464,060 × 979,561,464,060
  4. Step 4: Simplify right side
    455,504,780,454x = 959,540,661,871,370,668,343,296
  5. Step 5: Solve for x
    x = 959,540,661,871,370,668,343,296/455,504,780,454
  6. Step 6: Final answer
    x = 2,106,543,560,124.66

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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.