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Finding the Third Proportional to 1,540,143,382 and 3,362,514,822

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Solution

The third proportional to 1,540,143,382 and 3,362,514,822 is: 7,341,203,462.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,540,143,382 : 3,362,514,822 = 3,362,514,822 : x
  2. Step 2: Convert to fraction form
    1,540,143,382/3,362,514,822 = 3,362,514,822/x
  3. Step 3: Cross multiply
    1,540,143,382x = 3,362,514,822 × 3,362,514,822
  4. Step 4: Simplify right side
    1,540,143,382x = 11,306,505,928,169,691,136
  5. Step 5: Solve for x
    x = 11,306,505,928,169,691,136/1,540,143,382
  6. Step 6: Final answer
    x = 7,341,203,462.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.