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Finding the Third Proportional to 2,911,208,072 and 4,163,061,836

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Solution

The third proportional to 2,911,208,072 and 4,163,061,836 is: 5,953,227,464.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,911,208,072 : 4,163,061,836 = 4,163,061,836 : x
  2. Step 2: Convert to fraction form
    2,911,208,072/4,163,061,836 = 4,163,061,836/x
  3. Step 3: Cross multiply
    2,911,208,072x = 4,163,061,836 × 4,163,061,836
  4. Step 4: Simplify right side
    2,911,208,072x = 17,331,083,850,359,691,264
  5. Step 5: Solve for x
    x = 17,331,083,850,359,691,264/2,911,208,072
  6. Step 6: Final answer
    x = 5,953,227,464.93

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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.