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Finding the Third Proportional to 30,335,638 and 65,519,535.50

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Solution

The third proportional to 30,335,638 and 65,519,535.50 is: 141,510,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,335,638 : 65,519,535.50 = 65,519,535.50 : x
  2. Step 2: Convert to fraction form
    30,335,638/65,519,535.50 = 65,519,535.50/x
  3. Step 3: Cross multiply
    30,335,638x = 65,519,535.50 × 65,519,535.50
  4. Step 4: Simplify right side
    30,335,638x = 4,292,809,532,135,760
  5. Step 5: Solve for x
    x = 4,292,809,532,135,760/30,335,638
  6. Step 6: Final answer
    x = 141,510,441.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.