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Finding the Third Proportional to 29,719,664 and 41,065,824

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Solution

The third proportional to 29,719,664 and 41,065,824 is: 56,743,639.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,719,664 : 41,065,824 = 41,065,824 : x
  2. Step 2: Convert to fraction form
    29,719,664/41,065,824 = 41,065,824/x
  3. Step 3: Cross multiply
    29,719,664x = 41,065,824 × 41,065,824
  4. Step 4: Simplify right side
    29,719,664x = 1,686,401,900,798,976
  5. Step 5: Solve for x
    x = 1,686,401,900,798,976/29,719,664
  6. Step 6: Final answer
    x = 56,743,639.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.