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Finding the Third Proportional to 7,678,310 and 16,802,956

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Solution

The third proportional to 7,678,310 and 16,802,956 is: 36,771,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678,310 : 16,802,956 = 16,802,956 : x
  2. Step 2: Convert to fraction form
    7,678,310/16,802,956 = 16,802,956/x
  3. Step 3: Cross multiply
    7,678,310x = 16,802,956 × 16,802,956
  4. Step 4: Simplify right side
    7,678,310x = 282,339,330,337,936
  5. Step 5: Solve for x
    x = 282,339,330,337,936/7,678,310
  6. Step 6: Final answer
    x = 36,771,025.18

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Why These Related Problems?

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