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Finding the Third Proportional to 8,021,592 and 17,513,121

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Solution

The third proportional to 8,021,592 and 17,513,121 is: 38,235,478.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,021,592 : 17,513,121 = 17,513,121 : x
  2. Step 2: Convert to fraction form
    8,021,592/17,513,121 = 17,513,121/x
  3. Step 3: Cross multiply
    8,021,592x = 17,513,121 × 17,513,121
  4. Step 4: Simplify right side
    8,021,592x = 306,709,407,160,641
  5. Step 5: Solve for x
    x = 306,709,407,160,641/8,021,592
  6. Step 6: Final answer
    x = 38,235,478.34

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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.