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Finding the Third Proportional to 6,389,666.02 and 13,753,640.53

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Solution

The third proportional to 6,389,666.02 and 13,753,640.53 is: 29,604,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,666.02 : 13,753,640.53 = 13,753,640.53 : x
  2. Step 2: Convert to fraction form
    6,389,666.02/13,753,640.53 = 13,753,640.53/x
  3. Step 3: Cross multiply
    6,389,666.02x = 13,753,640.53 × 13,753,640.53
  4. Step 4: Simplify right side
    6,389,666.02x = 189,162,627,862,842.78
  5. Step 5: Solve for x
    x = 189,162,627,862,842.78/6,389,666.02
  6. Step 6: Final answer
    x = 29,604,462.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.