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Finding the Third Proportional to 34,285,878 and 46,563,912

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Solution

The third proportional to 34,285,878 and 46,563,912 is: 63,238,803.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,285,878 : 46,563,912 = 46,563,912 : x
  2. Step 2: Convert to fraction form
    34,285,878/46,563,912 = 46,563,912/x
  3. Step 3: Cross multiply
    34,285,878x = 46,563,912 × 46,563,912
  4. Step 4: Simplify right side
    34,285,878x = 2,168,197,900,743,744
  5. Step 5: Solve for x
    x = 2,168,197,900,743,744/34,285,878
  6. Step 6: Final answer
    x = 63,238,803.47

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.