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Finding the Third Proportional to 430,530,942,878 and 922,471,245,576

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Solution

The third proportional to 430,530,942,878 and 922,471,245,576 is: 1,976,520,417,385.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,530,942,878 : 922,471,245,576 = 922,471,245,576 : x
  2. Step 2: Convert to fraction form
    430,530,942,878/922,471,245,576 = 922,471,245,576/x
  3. Step 3: Cross multiply
    430,530,942,878x = 922,471,245,576 × 922,471,245,576
  4. Step 4: Simplify right side
    430,530,942,878x = 850,953,198,914,536,847,966,208
  5. Step 5: Solve for x
    x = 850,953,198,914,536,847,966,208/430,530,942,878
  6. Step 6: Final answer
    x = 1,976,520,417,385.36

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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.