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Finding the Third Proportional to 31,164,432 and 46,572,225

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Solution

The third proportional to 31,164,432 and 46,572,225 is: 69,597,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164,432 : 46,572,225 = 46,572,225 : x
  2. Step 2: Convert to fraction form
    31,164,432/46,572,225 = 46,572,225/x
  3. Step 3: Cross multiply
    31,164,432x = 46,572,225 × 46,572,225
  4. Step 4: Simplify right side
    31,164,432x = 2,168,972,141,450,625
  5. Step 5: Solve for x
    x = 2,168,972,141,450,625/31,164,432
  6. Step 6: Final answer
    x = 69,597,679.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.