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Finding the Third Proportional to 11,643,391,559 and 25,326,825,706

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Solution

The third proportional to 11,643,391,559 and 25,326,825,706 is: 55,091,173,142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643,391,559 : 25,326,825,706 = 25,326,825,706 : x
  2. Step 2: Convert to fraction form
    11,643,391,559/25,326,825,706 = 25,326,825,706/x
  3. Step 3: Cross multiply
    11,643,391,559x = 25,326,825,706 × 25,326,825,706
  4. Step 4: Simplify right side
    11,643,391,559x = 641,448,100,342,102,360,064
  5. Step 5: Solve for x
    x = 641,448,100,342,102,360,064/11,643,391,559
  6. Step 6: Final answer
    x = 55,091,173,142.44

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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.