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Finding the Third Proportional to 11,643,391,548 and 25,326,825,687

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Solution

The third proportional to 11,643,391,548 and 25,326,825,687 is: 55,091,173,111.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643,391,548 : 25,326,825,687 = 25,326,825,687 : x
  2. Step 2: Convert to fraction form
    11,643,391,548/25,326,825,687 = 25,326,825,687/x
  3. Step 3: Cross multiply
    11,643,391,548x = 25,326,825,687 × 25,326,825,687
  4. Step 4: Simplify right side
    11,643,391,548x = 641,448,099,379,683,000,320
  5. Step 5: Solve for x
    x = 641,448,099,379,683,000,320/11,643,391,548
  6. Step 6: Final answer
    x = 55,091,173,111.83

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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.