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Finding the Third Proportional to 430,530,942,882 and 922,471,245,582

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Solution

The third proportional to 430,530,942,882 and 922,471,245,582 is: 1,976,520,417,392.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,530,942,882 : 922,471,245,582 = 922,471,245,582 : x
  2. Step 2: Convert to fraction form
    430,530,942,882/922,471,245,582 = 922,471,245,582/x
  3. Step 3: Cross multiply
    430,530,942,882x = 922,471,245,582 × 922,471,245,582
  4. Step 4: Simplify right side
    430,530,942,882x = 850,953,198,925,606,589,300,736
  5. Step 5: Solve for x
    x = 850,953,198,925,606,589,300,736/430,530,942,882
  6. Step 6: Final answer
    x = 1,976,520,417,392.71

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.