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Finding the Third Proportional to 284,438,538,845 and 410,964,569,263

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Solution

The third proportional to 284,438,538,845 and 410,964,569,263 is: 593,772,833,580.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,438,538,845 : 410,964,569,263 = 410,964,569,263 : x
  2. Step 2: Convert to fraction form
    284,438,538,845/410,964,569,263 = 410,964,569,263/x
  3. Step 3: Cross multiply
    284,438,538,845x = 410,964,569,263 × 410,964,569,263
  4. Step 4: Simplify right side
    284,438,538,845x = 168,891,877,189,523,114,819,584
  5. Step 5: Solve for x
    x = 168,891,877,189,523,114,819,584/284,438,538,845
  6. Step 6: Final answer
    x = 593,772,833,580.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.