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Finding the Third Proportional to 6,389,685 and 13,753,683

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Solution

The third proportional to 6,389,685 and 13,753,683 is: 29,604,557.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389,685 : 13,753,683 = 13,753,683 : x
  2. Step 2: Convert to fraction form
    6,389,685/13,753,683 = 13,753,683/x
  3. Step 3: Cross multiply
    6,389,685x = 13,753,683 × 13,753,683
  4. Step 4: Simplify right side
    6,389,685x = 189,163,796,064,489
  5. Step 5: Solve for x
    x = 189,163,796,064,489/6,389,685
  6. Step 6: Final answer
    x = 29,604,557.36

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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.