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Finding the Third Proportional to 22,373,081,694 and 48,470,033,196

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Solution

The third proportional to 22,373,081,694 and 48,470,033,196 is: 105,007,622,559.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,373,081,694 : 48,470,033,196 = 48,470,033,196 : x
  2. Step 2: Convert to fraction form
    22,373,081,694/48,470,033,196 = 48,470,033,196/x
  3. Step 3: Cross multiply
    22,373,081,694x = 48,470,033,196 × 48,470,033,196
  4. Step 4: Simplify right side
    22,373,081,694x = 2,349,344,118,021,342,101,504
  5. Step 5: Solve for x
    x = 2,349,344,118,021,342,101,504/22,373,081,694
  6. Step 6: Final answer
    x = 105,007,622,559.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.