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Finding the Third Proportional to 7,727,430 and 16,782,288

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Solution

The third proportional to 7,727,430 and 16,782,288 is: 36,447,459.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,727,430 : 16,782,288 = 16,782,288 : x
  2. Step 2: Convert to fraction form
    7,727,430/16,782,288 = 16,782,288/x
  3. Step 3: Cross multiply
    7,727,430x = 16,782,288 × 16,782,288
  4. Step 4: Simplify right side
    7,727,430x = 281,645,190,514,944
  5. Step 5: Solve for x
    x = 281,645,190,514,944/7,727,430
  6. Step 6: Final answer
    x = 36,447,459.31

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.