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Finding the Third Proportional to 16,425,589.50 and 38,024,178

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Solution

The third proportional to 16,425,589.50 and 38,024,178 is: 88,023,514.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,425,589.50 : 38,024,178 = 38,024,178 : x
  2. Step 2: Convert to fraction form
    16,425,589.50/38,024,178 = 38,024,178/x
  3. Step 3: Cross multiply
    16,425,589.50x = 38,024,178 × 38,024,178
  4. Step 4: Simplify right side
    16,425,589.50x = 1,445,838,112,575,684
  5. Step 5: Solve for x
    x = 1,445,838,112,575,684/16,425,589.50
  6. Step 6: Final answer
    x = 88,023,514.32

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.