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Finding the Third Proportional to 16,013,840,000 and 34,437,707,838

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Solution

The third proportional to 16,013,840,000 and 34,437,707,838 is: 74,058,172,251.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013,840,000 : 34,437,707,838 = 34,437,707,838 : x
  2. Step 2: Convert to fraction form
    16,013,840,000/34,437,707,838 = 34,437,707,838/x
  3. Step 3: Cross multiply
    16,013,840,000x = 34,437,707,838 × 34,437,707,838
  4. Step 4: Simplify right side
    16,013,840,000x = 1,185,955,721,135,446,556,672
  5. Step 5: Solve for x
    x = 1,185,955,721,135,446,556,672/16,013,840,000
  6. Step 6: Final answer
    x = 74,058,172,251.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.