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Finding the Third Proportional to 1,992,846,536 and 4,281,437,912

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Solution

The third proportional to 1,992,846,536 and 4,281,437,912 is: 9,198,254,990.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992,846,536 : 4,281,437,912 = 4,281,437,912 : x
  2. Step 2: Convert to fraction form
    1,992,846,536/4,281,437,912 = 4,281,437,912/x
  3. Step 3: Cross multiply
    1,992,846,536x = 4,281,437,912 × 4,281,437,912
  4. Step 4: Simplify right side
    1,992,846,536x = 18,330,710,594,310,920,192
  5. Step 5: Solve for x
    x = 18,330,710,594,310,920,192/1,992,846,536
  6. Step 6: Final answer
    x = 9,198,254,990.12

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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.