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Finding the Third Proportional to 349,932,678 and 538,616,097

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Solution

The third proportional to 349,932,678 and 538,616,097 is: 829,037,464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,932,678 : 538,616,097 = 538,616,097 : x
  2. Step 2: Convert to fraction form
    349,932,678/538,616,097 = 538,616,097/x
  3. Step 3: Cross multiply
    349,932,678x = 538,616,097 × 538,616,097
  4. Step 4: Simplify right side
    349,932,678x = 290,107,299,947,513,408
  5. Step 5: Solve for x
    x = 290,107,299,947,513,408/349,932,678
  6. Step 6: Final answer
    x = 829,037,464.02

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.