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Finding the Third Proportional to 6,683,840 and 14,129,632

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Solution

The third proportional to 6,683,840 and 14,129,632 is: 29,870,029.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,840 : 14,129,632 = 14,129,632 : x
  2. Step 2: Convert to fraction form
    6,683,840/14,129,632 = 14,129,632/x
  3. Step 3: Cross multiply
    6,683,840x = 14,129,632 × 14,129,632
  4. Step 4: Simplify right side
    6,683,840x = 199,646,500,455,424
  5. Step 5: Solve for x
    x = 199,646,500,455,424/6,683,840
  6. Step 6: Final answer
    x = 29,870,029.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.