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Finding the Third Proportional to 264,096,716,823 and 580,075,992,258.75

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Solution

The third proportional to 264,096,716,823 and 580,075,992,258.75 is: 1,274,109,579,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096,716,823 : 580,075,992,258.75 = 580,075,992,258.75 : x
  2. Step 2: Convert to fraction form
    264,096,716,823/580,075,992,258.75 = 580,075,992,258.75/x
  3. Step 3: Cross multiply
    264,096,716,823x = 580,075,992,258.75 × 580,075,992,258.75
  4. Step 4: Simplify right side
    264,096,716,823x = 336,488,156,794,973,388,275,712
  5. Step 5: Solve for x
    x = 336,488,156,794,973,388,275,712/264,096,716,823
  6. Step 6: Final answer
    x = 1,274,109,579,410.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.