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Finding the Third Proportional to 16,433,984 and 36,644,608

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Solution

The third proportional to 16,433,984 and 36,644,608 is: 81,710,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,433,984 : 36,644,608 = 36,644,608 : x
  2. Step 2: Convert to fraction form
    16,433,984/36,644,608 = 36,644,608/x
  3. Step 3: Cross multiply
    16,433,984x = 36,644,608 × 36,644,608
  4. Step 4: Simplify right side
    16,433,984x = 1,342,827,295,473,664
  5. Step 5: Solve for x
    x = 1,342,827,295,473,664/16,433,984
  6. Step 6: Final answer
    x = 81,710,393.26

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.