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Finding the Third Proportional to 13,915,977.75 and 30,301,942.50

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Solution

The third proportional to 13,915,977.75 and 30,301,942.50 is: 65,982,264.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,915,977.75 : 30,301,942.50 = 30,301,942.50 : x
  2. Step 2: Convert to fraction form
    13,915,977.75/30,301,942.50 = 30,301,942.50/x
  3. Step 3: Cross multiply
    13,915,977.75x = 30,301,942.50 × 30,301,942.50
  4. Step 4: Simplify right side
    13,915,977.75x = 918,207,719,273,306.25
  5. Step 5: Solve for x
    x = 918,207,719,273,306.25/13,915,977.75
  6. Step 6: Final answer
    x = 65,982,264.11

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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.