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Finding the Third Proportional to 19,284,500 and 29,175,582

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Solution

The third proportional to 19,284,500 and 29,175,582 is: 44,139,831.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,284,500 : 29,175,582 = 29,175,582 : x
  2. Step 2: Convert to fraction form
    19,284,500/29,175,582 = 29,175,582/x
  3. Step 3: Cross multiply
    19,284,500x = 29,175,582 × 29,175,582
  4. Step 4: Simplify right side
    19,284,500x = 851,214,585,038,724
  5. Step 5: Solve for x
    x = 851,214,585,038,724/19,284,500
  6. Step 6: Final answer
    x = 44,139,831.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.