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Finding the Third Proportional to 16,013,839,973 and 34,437,707,791

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Solution

The third proportional to 16,013,839,973 and 34,437,707,791 is: 74,058,172,174.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,013,839,973 : 34,437,707,791 = 34,437,707,791 : x
  2. Step 2: Convert to fraction form
    16,013,839,973/34,437,707,791 = 34,437,707,791/x
  3. Step 3: Cross multiply
    16,013,839,973x = 34,437,707,791 × 34,437,707,791
  4. Step 4: Simplify right side
    16,013,839,973x = 1,185,955,717,898,302,128,128
  5. Step 5: Solve for x
    x = 1,185,955,717,898,302,128,128/16,013,839,973
  6. Step 6: Final answer
    x = 74,058,172,174.69

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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.