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Finding the Third Proportional to 7,664,376 and 10,656,588

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Solution

The third proportional to 7,664,376 and 10,656,588 is: 14,816,975.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,664,376 : 10,656,588 = 10,656,588 : x
  2. Step 2: Convert to fraction form
    7,664,376/10,656,588 = 10,656,588/x
  3. Step 3: Cross multiply
    7,664,376x = 10,656,588 × 10,656,588
  4. Step 4: Simplify right side
    7,664,376x = 113,562,867,801,744
  5. Step 5: Solve for x
    x = 113,562,867,801,744/7,664,376
  6. Step 6: Final answer
    x = 14,816,975.03

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.