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Finding the Third Proportional to 18,866,328,326 and 40,382,927,404

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Solution

The third proportional to 18,866,328,326 and 40,382,927,404 is: 86,438,696,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,866,328,326 : 40,382,927,404 = 40,382,927,404 : x
  2. Step 2: Convert to fraction form
    18,866,328,326/40,382,927,404 = 40,382,927,404/x
  3. Step 3: Cross multiply
    18,866,328,326x = 40,382,927,404 × 40,382,927,404
  4. Step 4: Simplify right side
    18,866,328,326x = 1,630,780,825,716,734,296,064
  5. Step 5: Solve for x
    x = 1,630,780,825,716,734,296,064/18,866,328,326
  6. Step 6: Final answer
    x = 86,438,696,366.23

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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.