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Finding the Third Proportional to 7,664,907 and 16,690,614

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Solution

The third proportional to 7,664,907 and 16,690,614 is: 36,344,419.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,907 : 16,690,614 = 16,690,614 : x
  2. Step 2: Convert to fraction form
    7,664,907/16,690,614 = 16,690,614/x
  3. Step 3: Cross multiply
    7,664,907x = 16,690,614 × 16,690,614
  4. Step 4: Simplify right side
    7,664,907x = 278,576,595,696,996
  5. Step 5: Solve for x
    x = 278,576,595,696,996/7,664,907
  6. Step 6: Final answer
    x = 36,344,419.53

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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.