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Finding the Third Proportional to 5,971,654.50 and 13,061,025

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Solution

The third proportional to 5,971,654.50 and 13,061,025 is: 28,566,685.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971,654.50 : 13,061,025 = 13,061,025 : x
  2. Step 2: Convert to fraction form
    5,971,654.50/13,061,025 = 13,061,025/x
  3. Step 3: Cross multiply
    5,971,654.50x = 13,061,025 × 13,061,025
  4. Step 4: Simplify right side
    5,971,654.50x = 170,590,374,050,625
  5. Step 5: Solve for x
    x = 170,590,374,050,625/5,971,654.50
  6. Step 6: Final answer
    x = 28,566,685.17

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.