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Finding the Third Proportional to 34,715,586,208.50 and 75,349,299,393

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Solution

The third proportional to 34,715,586,208.50 and 75,349,299,393 is: 163,543,743,289.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,715,586,208.50 : 75,349,299,393 = 75,349,299,393 : x
  2. Step 2: Convert to fraction form
    34,715,586,208.50/75,349,299,393 = 75,349,299,393/x
  3. Step 3: Cross multiply
    34,715,586,208.50x = 75,349,299,393 × 75,349,299,393
  4. Step 4: Simplify right side
    34,715,586,208.50x = 5,677,516,919,015,950,254,080
  5. Step 5: Solve for x
    x = 5,677,516,919,015,950,254,080/34,715,586,208.50
  6. Step 6: Final answer
    x = 163,543,743,289.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.