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Finding the Third Proportional to 486,762,961,790 and 1,040,514,421,756

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Solution

The third proportional to 486,762,961,790 and 1,040,514,421,756 is: 2,224,224,821,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,762,961,790 : 1,040,514,421,756 = 1,040,514,421,756 : x
  2. Step 2: Convert to fraction form
    486,762,961,790/1,040,514,421,756 = 1,040,514,421,756/x
  3. Step 3: Cross multiply
    486,762,961,790x = 1,040,514,421,756 × 1,040,514,421,756
  4. Step 4: Simplify right side
    486,762,961,790x = 1,082,670,261,882,223,086,010,368
  5. Step 5: Solve for x
    x = 1,082,670,261,882,223,086,010,368/486,762,961,790
  6. Step 6: Final answer
    x = 2,224,224,821,668.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.