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Finding the Third Proportional to 264,096,716,828 and 580,075,992,270

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Solution

The third proportional to 264,096,716,828 and 580,075,992,270 is: 1,274,109,579,435.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,096,716,828 : 580,075,992,270 = 580,075,992,270 : x
  2. Step 2: Convert to fraction form
    264,096,716,828/580,075,992,270 = 580,075,992,270/x
  3. Step 3: Cross multiply
    264,096,716,828x = 580,075,992,270 × 580,075,992,270
  4. Step 4: Simplify right side
    264,096,716,828x = 336,488,156,808,025,122,799,616
  5. Step 5: Solve for x
    x = 336,488,156,808,025,122,799,616/264,096,716,828
  6. Step 6: Final answer
    x = 1,274,109,579,435.52

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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.