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Finding the Third Proportional to 10,379,830 and 15,975,960

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Solution

The third proportional to 10,379,830 and 15,975,960 is: 24,589,159.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379,830 : 15,975,960 = 15,975,960 : x
  2. Step 2: Convert to fraction form
    10,379,830/15,975,960 = 15,975,960/x
  3. Step 3: Cross multiply
    10,379,830x = 15,975,960 × 15,975,960
  4. Step 4: Simplify right side
    10,379,830x = 255,231,297,921,600
  5. Step 5: Solve for x
    x = 255,231,297,921,600/10,379,830
  6. Step 6: Final answer
    x = 24,589,159.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.