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Finding the Third Proportional to 29,084,420 and 45,096,458

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Solution

The third proportional to 29,084,420 and 45,096,458 is: 69,923,709.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,084,420 : 45,096,458 = 45,096,458 : x
  2. Step 2: Convert to fraction form
    29,084,420/45,096,458 = 45,096,458/x
  3. Step 3: Cross multiply
    29,084,420x = 45,096,458 × 45,096,458
  4. Step 4: Simplify right side
    29,084,420x = 2,033,690,524,145,764
  5. Step 5: Solve for x
    x = 2,033,690,524,145,764/29,084,420
  6. Step 6: Final answer
    x = 69,923,709.12

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.