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Finding the Third Proportional to 4,103,862,330 and 8,321,919,423

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Solution

The third proportional to 4,103,862,330 and 8,321,919,423 is: 16,875,405,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103,862,330 : 8,321,919,423 = 8,321,919,423 : x
  2. Step 2: Convert to fraction form
    4,103,862,330/8,321,919,423 = 8,321,919,423/x
  3. Step 3: Cross multiply
    4,103,862,330x = 8,321,919,423 × 8,321,919,423
  4. Step 4: Simplify right side
    4,103,862,330x = 69,254,342,882,904,653,824
  5. Step 5: Solve for x
    x = 69,254,342,882,904,653,824/4,103,862,330
  6. Step 6: Final answer
    x = 16,875,405,974.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.