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Finding the Third Proportional to 62,486,976 and 128,018,256

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Solution

The third proportional to 62,486,976 and 128,018,256 is: 262,273,435.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,486,976 : 128,018,256 = 128,018,256 : x
  2. Step 2: Convert to fraction form
    62,486,976/128,018,256 = 128,018,256/x
  3. Step 3: Cross multiply
    62,486,976x = 128,018,256 × 128,018,256
  4. Step 4: Simplify right side
    62,486,976x = 16,388,673,869,281,536
  5. Step 5: Solve for x
    x = 16,388,673,869,281,536/62,486,976
  6. Step 6: Final answer
    x = 262,273,435.50

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.