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Finding the Third Proportional to 16,102,401.75 and 34,758,213.75

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Solution

The third proportional to 16,102,401.75 and 34,758,213.75 is: 75,028,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,102,401.75 : 34,758,213.75 = 34,758,213.75 : x
  2. Step 2: Convert to fraction form
    16,102,401.75/34,758,213.75 = 34,758,213.75/x
  3. Step 3: Cross multiply
    16,102,401.75x = 34,758,213.75 × 34,758,213.75
  4. Step 4: Simplify right side
    16,102,401.75x = 1,208,133,423,090,689
  5. Step 5: Solve for x
    x = 1,208,133,423,090,689/16,102,401.75
  6. Step 6: Final answer
    x = 75,028,150.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.