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Finding the Third Proportional to 6,731,400 and 14,681,184

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Solution

The third proportional to 6,731,400 and 14,681,184 is: 32,019,663.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731,400 : 14,681,184 = 14,681,184 : x
  2. Step 2: Convert to fraction form
    6,731,400/14,681,184 = 14,681,184/x
  3. Step 3: Cross multiply
    6,731,400x = 14,681,184 × 14,681,184
  4. Step 4: Simplify right side
    6,731,400x = 215,537,163,641,856
  5. Step 5: Solve for x
    x = 215,537,163,641,856/6,731,400
  6. Step 6: Final answer
    x = 32,019,663.61

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.