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Finding the Third Proportional to 430,530,942,875 and 922,471,245,570

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Solution

The third proportional to 430,530,942,875 and 922,471,245,570 is: 1,976,520,417,373.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,530,942,875 : 922,471,245,570 = 922,471,245,570 : x
  2. Step 2: Convert to fraction form
    430,530,942,875/922,471,245,570 = 922,471,245,570/x
  3. Step 3: Cross multiply
    430,530,942,875x = 922,471,245,570 × 922,471,245,570
  4. Step 4: Simplify right side
    430,530,942,875x = 850,953,198,903,467,240,849,408
  5. Step 5: Solve for x
    x = 850,953,198,903,467,240,849,408/430,530,942,875
  6. Step 6: Final answer
    x = 1,976,520,417,373.42

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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.