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Finding the Third Proportional to 5,206,535 and 11,308,621

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Solution

The third proportional to 5,206,535 and 11,308,621 is: 24,562,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206,535 : 11,308,621 = 11,308,621 : x
  2. Step 2: Convert to fraction form
    5,206,535/11,308,621 = 11,308,621/x
  3. Step 3: Cross multiply
    5,206,535x = 11,308,621 × 11,308,621
  4. Step 4: Simplify right side
    5,206,535x = 127,884,908,921,641
  5. Step 5: Solve for x
    x = 127,884,908,921,641/5,206,535
  6. Step 6: Final answer
    x = 24,562,383.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.