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Finding the Third Proportional to 1,847,520,229 and 3,825,999,156

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Solution

The third proportional to 1,847,520,229 and 3,825,999,156 is: 7,923,198,518.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,520,229 : 3,825,999,156 = 3,825,999,156 : x
  2. Step 2: Convert to fraction form
    1,847,520,229/3,825,999,156 = 3,825,999,156/x
  3. Step 3: Cross multiply
    1,847,520,229x = 3,825,999,156 × 3,825,999,156
  4. Step 4: Simplify right side
    1,847,520,229x = 14,638,269,541,712,711,680
  5. Step 5: Solve for x
    x = 14,638,269,541,712,711,680/1,847,520,229
  6. Step 6: Final answer
    x = 7,923,198,518.72

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.