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Finding the Third Proportional to 1,256,879,201,488 and 2,757,096,689,312

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Solution

The third proportional to 1,256,879,201,488 and 2,757,096,689,312 is: 6,047,981,496,722.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,879,201,488 : 2,757,096,689,312 = 2,757,096,689,312 : x
  2. Step 2: Convert to fraction form
    1,256,879,201,488/2,757,096,689,312 = 2,757,096,689,312/x
  3. Step 3: Cross multiply
    1,256,879,201,488x = 2,757,096,689,312 × 2,757,096,689,312
  4. Step 4: Simplify right side
    1,256,879,201,488x = 7,601,582,154,215,190,857,515,008
  5. Step 5: Solve for x
    x = 7,601,582,154,215,190,857,515,008/1,256,879,201,488
  6. Step 6: Final answer
    x = 6,047,981,496,722.83

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.