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Finding the Third Proportional to 5,256,316 and 11,297,864

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Solution

The third proportional to 5,256,316 and 11,297,864 is: 24,283,496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256,316 : 11,297,864 = 11,297,864 : x
  2. Step 2: Convert to fraction form
    5,256,316/11,297,864 = 11,297,864/x
  3. Step 3: Cross multiply
    5,256,316x = 11,297,864 × 11,297,864
  4. Step 4: Simplify right side
    5,256,316x = 127,641,730,962,496
  5. Step 5: Solve for x
    x = 127,641,730,962,496/5,256,316
  6. Step 6: Final answer
    x = 24,283,496.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.