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Finding the Third Proportional to 14,933,107.50 and 31,913,247

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Solution

The third proportional to 14,933,107.50 and 31,913,247 is: 68,201,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,933,107.50 : 31,913,247 = 31,913,247 : x
  2. Step 2: Convert to fraction form
    14,933,107.50/31,913,247 = 31,913,247/x
  3. Step 3: Cross multiply
    14,933,107.50x = 31,913,247 × 31,913,247
  4. Step 4: Simplify right side
    14,933,107.50x = 1,018,455,334,083,009
  5. Step 5: Solve for x
    x = 1,018,455,334,083,009/14,933,107.50
  6. Step 6: Final answer
    x = 68,201,165.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.