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Finding the Third Proportional to 6,850,308 and 14,906,550

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Solution

The third proportional to 6,850,308 and 14,906,550 is: 32,437,261.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850,308 : 14,906,550 = 14,906,550 : x
  2. Step 2: Convert to fraction form
    6,850,308/14,906,550 = 14,906,550/x
  3. Step 3: Cross multiply
    6,850,308x = 14,906,550 × 14,906,550
  4. Step 4: Simplify right side
    6,850,308x = 222,205,232,902,500
  5. Step 5: Solve for x
    x = 222,205,232,902,500/6,850,308
  6. Step 6: Final answer
    x = 32,437,261.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.