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Finding the Third Proportional to 5,677,632 and 12,098,520

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Solution

The third proportional to 5,677,632 and 12,098,520 is: 25,780,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677,632 : 12,098,520 = 12,098,520 : x
  2. Step 2: Convert to fraction form
    5,677,632/12,098,520 = 12,098,520/x
  3. Step 3: Cross multiply
    5,677,632x = 12,098,520 × 12,098,520
  4. Step 4: Simplify right side
    5,677,632x = 146,374,186,190,400
  5. Step 5: Solve for x
    x = 146,374,186,190,400/5,677,632
  6. Step 6: Final answer
    x = 25,780,851.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.