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Finding the Third Proportional to 22,315,217,800 and 48,552,897,644

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Solution

The third proportional to 22,315,217,800 and 48,552,897,644 is: 105,640,190,956.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,315,217,800 : 48,552,897,644 = 48,552,897,644 : x
  2. Step 2: Convert to fraction form
    22,315,217,800/48,552,897,644 = 48,552,897,644/x
  3. Step 3: Cross multiply
    22,315,217,800x = 48,552,897,644 × 48,552,897,644
  4. Step 4: Simplify right side
    22,315,217,800x = 2,357,383,869,628,740,796,416
  5. Step 5: Solve for x
    x = 2,357,383,869,628,740,796,416/22,315,217,800
  6. Step 6: Final answer
    x = 105,640,190,956.54

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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.