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Finding the Third Proportional to 1,520,094,429 and 3,273,432,408

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Solution

The third proportional to 1,520,094,429 and 3,273,432,408 is: 7,049,140,846.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520,094,429 : 3,273,432,408 = 3,273,432,408 : x
  2. Step 2: Convert to fraction form
    1,520,094,429/3,273,432,408 = 3,273,432,408/x
  3. Step 3: Cross multiply
    1,520,094,429x = 3,273,432,408 × 3,273,432,408
  4. Step 4: Simplify right side
    1,520,094,429x = 10,715,359,729,744,678,912
  5. Step 5: Solve for x
    x = 10,715,359,729,744,678,912/1,520,094,429
  6. Step 6: Final answer
    x = 7,049,140,846.33

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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.