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Finding the Third Proportional to 271,673,669.25 and 423,652,980.38

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Solution

The third proportional to 271,673,669.25 and 423,652,980.38 is: 660,652,349.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,673,669.25 : 423,652,980.38 = 423,652,980.38 : x
  2. Step 2: Convert to fraction form
    271,673,669.25/423,652,980.38 = 423,652,980.38/x
  3. Step 3: Cross multiply
    271,673,669.25x = 423,652,980.38 × 423,652,980.38
  4. Step 4: Simplify right side
    271,673,669.25x = 179,481,847,780,620,128
  5. Step 5: Solve for x
    x = 179,481,847,780,620,128/271,673,669.25
  6. Step 6: Final answer
    x = 660,652,349.11

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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.