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Finding the Third Proportional to 286,633,326 and 585,297,564

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Solution

The third proportional to 286,633,326 and 585,297,564 is: 1,195,161,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,633,326 : 585,297,564 = 585,297,564 : x
  2. Step 2: Convert to fraction form
    286,633,326/585,297,564 = 585,297,564/x
  3. Step 3: Cross multiply
    286,633,326x = 585,297,564 × 585,297,564
  4. Step 4: Simplify right side
    286,633,326x = 342,573,238,424,334,080
  5. Step 5: Solve for x
    x = 342,573,238,424,334,080/286,633,326
  6. Step 6: Final answer
    x = 1,195,161,927.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.