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Finding the Third Proportional to 16,430,400 and 36,638,640

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Solution

The third proportional to 16,430,400 and 36,638,640 is: 81,701,598.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,430,400 : 36,638,640 = 36,638,640 : x
  2. Step 2: Convert to fraction form
    16,430,400/36,638,640 = 36,638,640/x
  3. Step 3: Cross multiply
    16,430,400x = 36,638,640 × 36,638,640
  4. Step 4: Simplify right side
    16,430,400x = 1,342,389,941,049,600
  5. Step 5: Solve for x
    x = 1,342,389,941,049,600/16,430,400
  6. Step 6: Final answer
    x = 81,701,598.32

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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.