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Finding the Third Proportional to 11,592,722,828 and 25,462,869,356

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Solution

The third proportional to 11,592,722,828 and 25,462,869,356 is: 55,927,992,539.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,592,722,828 : 25,462,869,356 = 25,462,869,356 : x
  2. Step 2: Convert to fraction form
    11,592,722,828/25,462,869,356 = 25,462,869,356/x
  3. Step 3: Cross multiply
    11,592,722,828x = 25,462,869,356 × 25,462,869,356
  4. Step 4: Simplify right side
    11,592,722,828x = 648,357,715,840,723,845,120
  5. Step 5: Solve for x
    x = 648,357,715,840,723,845,120/11,592,722,828
  6. Step 6: Final answer
    x = 55,927,992,539.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.