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Finding the Third Proportional to 38,802,616.50 and 84,494,283.75

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Solution

The third proportional to 38,802,616.50 and 84,494,283.75 is: 183,989,757.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,802,616.50 : 84,494,283.75 = 84,494,283.75 : x
  2. Step 2: Convert to fraction form
    38,802,616.50/84,494,283.75 = 84,494,283.75/x
  3. Step 3: Cross multiply
    38,802,616.50x = 84,494,283.75 × 84,494,283.75
  4. Step 4: Simplify right side
    38,802,616.50x = 7,139,283,986,425,514
  5. Step 5: Solve for x
    x = 7,139,283,986,425,514/38,802,616.50
  6. Step 6: Final answer
    x = 183,989,757.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.