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Finding the Third Proportional to 11,864,034 and 25,902,756

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Solution

The third proportional to 11,864,034 and 25,902,756 is: 56,553,510.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864,034 : 25,902,756 = 25,902,756 : x
  2. Step 2: Convert to fraction form
    11,864,034/25,902,756 = 25,902,756/x
  3. Step 3: Cross multiply
    11,864,034x = 25,902,756 × 25,902,756
  4. Step 4: Simplify right side
    11,864,034x = 670,952,768,395,536
  5. Step 5: Solve for x
    x = 670,952,768,395,536/11,864,034
  6. Step 6: Final answer
    x = 56,553,510.25

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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.