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Finding the Third Proportional to 14,409,296 and 30,877,922

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Solution

The third proportional to 14,409,296 and 30,877,922 is: 66,168,816.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409,296 : 30,877,922 = 30,877,922 : x
  2. Step 2: Convert to fraction form
    14,409,296/30,877,922 = 30,877,922/x
  3. Step 3: Cross multiply
    14,409,296x = 30,877,922 × 30,877,922
  4. Step 4: Simplify right side
    14,409,296x = 953,446,067,038,084
  5. Step 5: Solve for x
    x = 953,446,067,038,084/14,409,296
  6. Step 6: Final answer
    x = 66,168,816.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.