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Finding the Third Proportional to 1,051,776,761,994 and 2,297,199,168,720

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Solution

The third proportional to 1,051,776,761,994 and 2,297,199,168,720 is: 5,017,342,283,512.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051,776,761,994 : 2,297,199,168,720 = 2,297,199,168,720 : x
  2. Step 2: Convert to fraction form
    1,051,776,761,994/2,297,199,168,720 = 2,297,199,168,720/x
  3. Step 3: Cross multiply
    1,051,776,761,994x = 2,297,199,168,720 × 2,297,199,168,720
  4. Step 4: Simplify right side
    1,051,776,761,994x = 5,277,124,020,767,858,614,075,392
  5. Step 5: Solve for x
    x = 5,277,124,020,767,858,614,075,392/1,051,776,761,994
  6. Step 6: Final answer
    x = 5,017,342,283,512.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.