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Finding the Third Proportional to 3,835,576.50 and 7,803,343.50

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Solution

The third proportional to 3,835,576.50 and 7,803,343.50 is: 15,875,623.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,835,576.50 : 7,803,343.50 = 7,803,343.50 : x
  2. Step 2: Convert to fraction form
    3,835,576.50/7,803,343.50 = 7,803,343.50/x
  3. Step 3: Cross multiply
    3,835,576.50x = 7,803,343.50 × 7,803,343.50
  4. Step 4: Simplify right side
    3,835,576.50x = 60,892,169,778,992.25
  5. Step 5: Solve for x
    x = 60,892,169,778,992.25/3,835,576.50
  6. Step 6: Final answer
    x = 15,875,623.85

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.