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Finding the Third Proportional to 299,666,214,696 and 615,218,608,414.50

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Solution

The third proportional to 299,666,214,696 and 615,218,608,414.50 is: 1,263,051,747,503.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,666,214,696 : 615,218,608,414.50 = 615,218,608,414.50 : x
  2. Step 2: Convert to fraction form
    299,666,214,696/615,218,608,414.50 = 615,218,608,414.50/x
  3. Step 3: Cross multiply
    299,666,214,696x = 615,218,608,414.50 × 615,218,608,414.50
  4. Step 4: Simplify right side
    299,666,214,696x = 378,493,936,139,473,868,816,384
  5. Step 5: Solve for x
    x = 378,493,936,139,473,868,816,384/299,666,214,696
  6. Step 6: Final answer
    x = 1,263,051,747,503.27

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.