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Finding the Third Proportional to 57,557,783,217 and 128,349,965,922

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Solution

The third proportional to 57,557,783,217 and 128,349,965,922 is: 286,211,748,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,557,783,217 : 128,349,965,922 = 128,349,965,922 : x
  2. Step 2: Convert to fraction form
    57,557,783,217/128,349,965,922 = 128,349,965,922/x
  3. Step 3: Cross multiply
    57,557,783,217x = 128,349,965,922 × 128,349,965,922
  4. Step 4: Simplify right side
    57,557,783,217x = 16,473,713,752,178,562,170,880
  5. Step 5: Solve for x
    x = 16,473,713,752,178,562,170,880/57,557,783,217
  6. Step 6: Final answer
    x = 286,211,748,115.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.