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Finding the Third Proportional to 908,532,728.44 and 1,972,122,708.94

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Solution

The third proportional to 908,532,728.44 and 1,972,122,708.94 is: 4,280,823,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    908,532,728.44 : 1,972,122,708.94 = 1,972,122,708.94 : x
  2. Step 2: Convert to fraction form
    908,532,728.44/1,972,122,708.94 = 1,972,122,708.94/x
  3. Step 3: Cross multiply
    908,532,728.44x = 1,972,122,708.94 × 1,972,122,708.94
  4. Step 4: Simplify right side
    908,532,728.44x = 3,889,267,979,106,983,424
  5. Step 5: Solve for x
    x = 3,889,267,979,106,983,424/908,532,728.44
  6. Step 6: Final answer
    x = 4,280,823,196.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.