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Finding the Third Proportional to 5,443,952 and 11,884,032

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Solution

The third proportional to 5,443,952 and 11,884,032 is: 25,942,590.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,443,952 : 11,884,032 = 11,884,032 : x
  2. Step 2: Convert to fraction form
    5,443,952/11,884,032 = 11,884,032/x
  3. Step 3: Cross multiply
    5,443,952x = 11,884,032 × 11,884,032
  4. Step 4: Simplify right side
    5,443,952x = 141,230,216,577,024
  5. Step 5: Solve for x
    x = 141,230,216,577,024/5,443,952
  6. Step 6: Final answer
    x = 25,942,590.34

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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.