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Finding the Third Proportional to 5,326,548 and 11,649,608

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Solution

The third proportional to 5,326,548 and 11,649,608 is: 25,478,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,326,548 : 11,649,608 = 11,649,608 : x
  2. Step 2: Convert to fraction form
    5,326,548/11,649,608 = 11,649,608/x
  3. Step 3: Cross multiply
    5,326,548x = 11,649,608 × 11,649,608
  4. Step 4: Simplify right side
    5,326,548x = 135,713,366,553,664
  5. Step 5: Solve for x
    x = 135,713,366,553,664/5,326,548
  6. Step 6: Final answer
    x = 25,478,671.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.