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Finding the Third Proportional to 12,599,347 and 19,546,377

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Solution

The third proportional to 12,599,347 and 19,546,377 is: 30,323,861.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,599,347 : 19,546,377 = 19,546,377 : x
  2. Step 2: Convert to fraction form
    12,599,347/19,546,377 = 19,546,377/x
  3. Step 3: Cross multiply
    12,599,347x = 19,546,377 × 19,546,377
  4. Step 4: Simplify right side
    12,599,347x = 382,060,853,826,129
  5. Step 5: Solve for x
    x = 382,060,853,826,129/12,599,347
  6. Step 6: Final answer
    x = 30,323,861.53

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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.