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Finding the Third Proportional to 34,497,067.50 and 70,007,836.50

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Solution

The third proportional to 34,497,067.50 and 70,007,836.50 is: 142,072,863.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,497,067.50 : 70,007,836.50 = 70,007,836.50 : x
  2. Step 2: Convert to fraction form
    34,497,067.50/70,007,836.50 = 70,007,836.50/x
  3. Step 3: Cross multiply
    34,497,067.50x = 70,007,836.50 × 70,007,836.50
  4. Step 4: Simplify right side
    34,497,067.50x = 4,901,097,171,410,732
  5. Step 5: Solve for x
    x = 4,901,097,171,410,732/34,497,067.50
  6. Step 6: Final answer
    x = 142,072,863.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.