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Finding the Third Proportional to 57,557,783,214 and 128,349,965,916

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Solution

The third proportional to 57,557,783,214 and 128,349,965,916 is: 286,211,748,103.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,557,783,214 : 128,349,965,916 = 128,349,965,916 : x
  2. Step 2: Convert to fraction form
    57,557,783,214/128,349,965,916 = 128,349,965,916/x
  3. Step 3: Cross multiply
    57,557,783,214x = 128,349,965,916 × 128,349,965,916
  4. Step 4: Simplify right side
    57,557,783,214x = 16,473,713,750,638,361,313,280
  5. Step 5: Solve for x
    x = 16,473,713,750,638,361,313,280/57,557,783,214
  6. Step 6: Final answer
    x = 286,211,748,103.45

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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.