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Finding the Third Proportional to 12,599,343 and 19,546,371

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Solution

The third proportional to 12,599,343 and 19,546,371 is: 30,323,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599,343 : 19,546,371 = 19,546,371 : x
  2. Step 2: Convert to fraction form
    12,599,343/19,546,371 = 19,546,371/x
  3. Step 3: Cross multiply
    12,599,343x = 19,546,371 × 19,546,371
  4. Step 4: Simplify right side
    12,599,343x = 382,060,619,269,641
  5. Step 5: Solve for x
    x = 382,060,619,269,641/12,599,343
  6. Step 6: Final answer
    x = 30,323,852.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.