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Finding the Third Proportional to 16,149,064,772,313 and 34,747,433,419,674

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Solution

The third proportional to 16,149,064,772,313 and 34,747,433,419,674 is: 74,764,956,749,984.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,149,064,772,313 : 34,747,433,419,674 = 34,747,433,419,674 : x
  2. Step 2: Convert to fraction form
    16,149,064,772,313/34,747,433,419,674 = 34,747,433,419,674/x
  3. Step 3: Cross multiply
    16,149,064,772,313x = 34,747,433,419,674 × 34,747,433,419,674
  4. Step 4: Simplify right side
    16,149,064,772,313x = 1,207,384,129,254,677,578,917,085,184
  5. Step 5: Solve for x
    x = 1,207,384,129,254,677,578,917,085,184/16,149,064,772,313
  6. Step 6: Final answer
    x = 74,764,956,749,984.36

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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.