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Finding the Third Proportional to 6,683,814 and 14,129,580

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Solution

The third proportional to 6,683,814 and 14,129,580 is: 29,869,926.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,683,814 : 14,129,580 = 14,129,580 : x
  2. Step 2: Convert to fraction form
    6,683,814/14,129,580 = 14,129,580/x
  3. Step 3: Cross multiply
    6,683,814x = 14,129,580 × 14,129,580
  4. Step 4: Simplify right side
    6,683,814x = 199,645,030,976,400
  5. Step 5: Solve for x
    x = 199,645,030,976,400/6,683,814
  6. Step 6: Final answer
    x = 29,869,926.21

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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.