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Finding the Third Proportional to 25,384,934.25 and 38,672,447.63

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Solution

The third proportional to 25,384,934.25 and 38,672,447.63 is: 58,915,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,384,934.25 : 38,672,447.63 = 38,672,447.63 : x
  2. Step 2: Convert to fraction form
    25,384,934.25/38,672,447.63 = 38,672,447.63/x
  3. Step 3: Cross multiply
    25,384,934.25x = 38,672,447.63 × 38,672,447.63
  4. Step 4: Simplify right side
    25,384,934.25x = 1,495,558,205,308,368.25
  5. Step 5: Solve for x
    x = 1,495,558,205,308,368.25/25,384,934.25
  6. Step 6: Final answer
    x = 58,915,189.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.