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Finding the Third Proportional to 271,674,168.75 and 423,653,743.13

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Solution

The third proportional to 271,674,168.75 and 423,653,743.13 is: 660,653,513.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,674,168.75 : 423,653,743.13 = 423,653,743.13 : x
  2. Step 2: Convert to fraction form
    271,674,168.75/423,653,743.13 = 423,653,743.13/x
  3. Step 3: Cross multiply
    271,674,168.75x = 423,653,743.13 × 423,653,743.13
  4. Step 4: Simplify right side
    271,674,168.75x = 179,482,494,063,823,488
  5. Step 5: Solve for x
    x = 179,482,494,063,823,488/271,674,168.75
  6. Step 6: Final answer
    x = 660,653,513.32

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.