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Finding the Third Proportional to 32,692,021.50 and 69,369,003

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Solution

The third proportional to 32,692,021.50 and 69,369,003 is: 147,193,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,692,021.50 : 69,369,003 = 69,369,003 : x
  2. Step 2: Convert to fraction form
    32,692,021.50/69,369,003 = 69,369,003/x
  3. Step 3: Cross multiply
    32,692,021.50x = 69,369,003 × 69,369,003
  4. Step 4: Simplify right side
    32,692,021.50x = 4,812,058,577,214,009
  5. Step 5: Solve for x
    x = 4,812,058,577,214,009/32,692,021.50
  6. Step 6: Final answer
    x = 147,193,668.56

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.