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Finding the Third Proportional to 153,449,472 and 328,786,416

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Solution

The third proportional to 153,449,472 and 328,786,416 is: 704,469,725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,449,472 : 328,786,416 = 328,786,416 : x
  2. Step 2: Convert to fraction form
    153,449,472/328,786,416 = 328,786,416/x
  3. Step 3: Cross multiply
    153,449,472x = 328,786,416 × 328,786,416
  4. Step 4: Simplify right side
    153,449,472x = 108,100,507,346,125,056
  5. Step 5: Solve for x
    x = 108,100,507,346,125,056/153,449,472
  6. Step 6: Final answer
    x = 704,469,725.03

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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.