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Finding the Third Proportional to 12,416,976,349.50 and 27,237,906,064.50

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Solution

The third proportional to 12,416,976,349.50 and 27,237,906,064.50 is: 59,749,129,409.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,416,976,349.50 : 27,237,906,064.50 = 27,237,906,064.50 : x
  2. Step 2: Convert to fraction form
    12,416,976,349.50/27,237,906,064.50 = 27,237,906,064.50/x
  3. Step 3: Cross multiply
    12,416,976,349.50x = 27,237,906,064.50 × 27,237,906,064.50
  4. Step 4: Simplify right side
    12,416,976,349.50x = 741,903,526,778,525,843,456
  5. Step 5: Solve for x
    x = 741,903,526,778,525,843,456/12,416,976,349.50
  6. Step 6: Final answer
    x = 59,749,129,409.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.