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Finding the Third Proportional to 384,448,223 and 838,757,097

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Solution

The third proportional to 384,448,223 and 838,757,097 is: 1,829,930,340.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,448,223 : 838,757,097 = 838,757,097 : x
  2. Step 2: Convert to fraction form
    384,448,223/838,757,097 = 838,757,097/x
  3. Step 3: Cross multiply
    384,448,223x = 838,757,097 × 838,757,097
  4. Step 4: Simplify right side
    384,448,223x = 703,513,467,767,867,392
  5. Step 5: Solve for x
    x = 703,513,467,767,867,392/384,448,223
  6. Step 6: Final answer
    x = 1,829,930,340.89

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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.