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Finding the Third Proportional to 31,961,160 and 70,437,096

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Solution

The third proportional to 31,961,160 and 70,437,096 is: 155,231,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,961,160 : 70,437,096 = 70,437,096 : x
  2. Step 2: Convert to fraction form
    31,961,160/70,437,096 = 70,437,096/x
  3. Step 3: Cross multiply
    31,961,160x = 70,437,096 × 70,437,096
  4. Step 4: Simplify right side
    31,961,160x = 4,961,384,492,913,216
  5. Step 5: Solve for x
    x = 4,961,384,492,913,216/31,961,160
  6. Step 6: Final answer
    x = 155,231,677.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.