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Finding the Third Proportional to 29,607,923 and 66,023,664

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Solution

The third proportional to 29,607,923 and 66,023,664 is: 147,228,301.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,607,923 : 66,023,664 = 66,023,664 : x
  2. Step 2: Convert to fraction form
    29,607,923/66,023,664 = 66,023,664/x
  3. Step 3: Cross multiply
    29,607,923x = 66,023,664 × 66,023,664
  4. Step 4: Simplify right side
    29,607,923x = 4,359,124,207,984,896
  5. Step 5: Solve for x
    x = 4,359,124,207,984,896/29,607,923
  6. Step 6: Final answer
    x = 147,228,301.29

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.