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Finding the Third Proportional to 1,992,846,533.06 and 4,281,437,905.88

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Solution

The third proportional to 1,992,846,533.06 and 4,281,437,905.88 is: 9,198,254,977.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,846,533.06 : 4,281,437,905.88 = 4,281,437,905.88 : x
  2. Step 2: Convert to fraction form
    1,992,846,533.06/4,281,437,905.88 = 4,281,437,905.88/x
  3. Step 3: Cross multiply
    1,992,846,533.06x = 4,281,437,905.88 × 4,281,437,905.88
  4. Step 4: Simplify right side
    1,992,846,533.06x = 18,330,710,541,863,305,216
  5. Step 5: Solve for x
    x = 18,330,710,541,863,305,216/1,992,846,533.06
  6. Step 6: Final answer
    x = 9,198,254,977.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.