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Finding the Third Proportional to 3,000,812,285,633.40 and 4,048,800,293,806.10

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Solution

The third proportional to 3,000,812,285,633.40 and 4,048,800,293,806.10 is: 5,462,782,159,885.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,000,812,285,633.40 : 4,048,800,293,806.10 = 4,048,800,293,806.10 : x
  2. Step 2: Convert to fraction form
    3,000,812,285,633.40/4,048,800,293,806.10 = 4,048,800,293,806.10/x
  3. Step 3: Cross multiply
    3,000,812,285,633.40x = 4,048,800,293,806.10 × 4,048,800,293,806.10
  4. Step 4: Simplify right side
    3,000,812,285,633.40x = 16,392,783,819,124,362,541,268,992
  5. Step 5: Solve for x
    x = 16,392,783,819,124,362,541,268,992/3,000,812,285,633.40
  6. Step 6: Final answer
    x = 5,462,782,159,885.83

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.