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Finding the Third Proportional to 29,699,544 and 47,258,304

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Solution

The third proportional to 29,699,544 and 47,258,304 is: 75,198,033.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,699,544 : 47,258,304 = 47,258,304 : x
  2. Step 2: Convert to fraction form
    29,699,544/47,258,304 = 47,258,304/x
  3. Step 3: Cross multiply
    29,699,544x = 47,258,304 × 47,258,304
  4. Step 4: Simplify right side
    29,699,544x = 2,233,347,296,956,416
  5. Step 5: Solve for x
    x = 2,233,347,296,956,416/29,699,544
  6. Step 6: Final answer
    x = 75,198,033.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.