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Finding the Third Proportional to 4,217,023,434 and 6,170,303,025

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Solution

The third proportional to 4,217,023,434 and 6,170,303,025 is: 9,028,320,571.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,217,023,434 : 6,170,303,025 = 6,170,303,025 : x
  2. Step 2: Convert to fraction form
    4,217,023,434/6,170,303,025 = 6,170,303,025/x
  3. Step 3: Cross multiply
    4,217,023,434x = 6,170,303,025 × 6,170,303,025
  4. Step 4: Simplify right side
    4,217,023,434x = 38,072,639,420,324,151,296
  5. Step 5: Solve for x
    x = 38,072,639,420,324,151,296/4,217,023,434
  6. Step 6: Final answer
    x = 9,028,320,571.65

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.