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Finding the Third Proportional to 10,252,246.50 and 14,421,069

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Solution

The third proportional to 10,252,246.50 and 14,421,069 is: 20,285,040.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,252,246.50 : 14,421,069 = 14,421,069 : x
  2. Step 2: Convert to fraction form
    10,252,246.50/14,421,069 = 14,421,069/x
  3. Step 3: Cross multiply
    10,252,246.50x = 14,421,069 × 14,421,069
  4. Step 4: Simplify right side
    10,252,246.50x = 207,967,231,102,761
  5. Step 5: Solve for x
    x = 207,967,231,102,761/10,252,246.50
  6. Step 6: Final answer
    x = 20,285,040.07

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.