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Finding the Third Proportional to 2,911,204,324 and 4,163,054,213

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Solution

The third proportional to 2,911,204,324 and 4,163,054,213 is: 5,953,213,327.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911,204,324 : 4,163,054,213 = 4,163,054,213 : x
  2. Step 2: Convert to fraction form
    2,911,204,324/4,163,054,213 = 4,163,054,213/x
  3. Step 3: Cross multiply
    2,911,204,324x = 4,163,054,213 × 4,163,054,213
  4. Step 4: Simplify right side
    2,911,204,324x = 17,331,020,380,377,049,088
  5. Step 5: Solve for x
    x = 17,331,020,380,377,049,088/2,911,204,324
  6. Step 6: Final answer
    x = 5,953,213,327.38

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.