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Finding the Third Proportional to 16,149,064,773,410 and 34,747,433,421,952

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Solution

The third proportional to 16,149,064,773,410 and 34,747,433,421,952 is: 74,764,956,754,708.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149,064,773,410 : 34,747,433,421,952 = 34,747,433,421,952 : x
  2. Step 2: Convert to fraction form
    16,149,064,773,410/34,747,433,421,952 = 34,747,433,421,952/x
  3. Step 3: Cross multiply
    16,149,064,773,410x = 34,747,433,421,952 × 34,747,433,421,952
  4. Step 4: Simplify right side
    16,149,064,773,410x = 1,207,384,129,412,986,912,351,715,328
  5. Step 5: Solve for x
    x = 1,207,384,129,412,986,912,351,715,328/16,149,064,773,410
  6. Step 6: Final answer
    x = 74,764,956,754,708.61

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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.