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Finding the Third Proportional to 11,643,391,098 and 25,326,824,798.25

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Solution

The third proportional to 11,643,391,098 and 25,326,824,798.25 is: 55,091,171,374.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643,391,098 : 25,326,824,798.25 = 25,326,824,798.25 : x
  2. Step 2: Convert to fraction form
    11,643,391,098/25,326,824,798.25 = 25,326,824,798.25/x
  3. Step 3: Cross multiply
    11,643,391,098x = 25,326,824,798.25 × 25,326,824,798.25
  4. Step 4: Simplify right side
    11,643,391,098x = 641,448,054,361,251,119,104
  5. Step 5: Solve for x
    x = 641,448,054,361,251,119,104/11,643,391,098
  6. Step 6: Final answer
    x = 55,091,171,374.59

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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.