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Finding the Third Proportional to 31,211,133 and 67,024,154

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Solution

The third proportional to 31,211,133 and 67,024,154 is: 143,930,603.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,211,133 : 67,024,154 = 67,024,154 : x
  2. Step 2: Convert to fraction form
    31,211,133/67,024,154 = 67,024,154/x
  3. Step 3: Cross multiply
    31,211,133x = 67,024,154 × 67,024,154
  4. Step 4: Simplify right side
    31,211,133x = 4,492,237,219,415,716
  5. Step 5: Solve for x
    x = 4,492,237,219,415,716/31,211,133
  6. Step 6: Final answer
    x = 143,930,603.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.