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Finding the Third Proportional to 18,284,312.25 and 38,081,967.75

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Solution

The third proportional to 18,284,312.25 and 38,081,967.75 is: 79,315,877.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,284,312.25 : 38,081,967.75 = 38,081,967.75 : x
  2. Step 2: Convert to fraction form
    18,284,312.25/38,081,967.75 = 38,081,967.75/x
  3. Step 3: Cross multiply
    18,284,312.25x = 38,081,967.75 × 38,081,967.75
  4. Step 4: Simplify right side
    18,284,312.25x = 1,450,236,267,712,040
  5. Step 5: Solve for x
    x = 1,450,236,267,712,040/18,284,312.25
  6. Step 6: Final answer
    x = 79,315,877.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.