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Finding the Third Proportional to 6,461,828 and 10,137,592

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Solution

The third proportional to 6,461,828 and 10,137,592 is: 15,904,287.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,461,828 : 10,137,592 = 10,137,592 : x
  2. Step 2: Convert to fraction form
    6,461,828/10,137,592 = 10,137,592/x
  3. Step 3: Cross multiply
    6,461,828x = 10,137,592 × 10,137,592
  4. Step 4: Simplify right side
    6,461,828x = 102,770,771,558,464
  5. Step 5: Solve for x
    x = 102,770,771,558,464/6,461,828
  6. Step 6: Final answer
    x = 15,904,287.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.