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Finding the Third Proportional to 1,996,644,634 and 4,270,252,845

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Solution

The third proportional to 1,996,644,634 and 4,270,252,845 is: 9,132,851,710.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,996,644,634 : 4,270,252,845 = 4,270,252,845 : x
  2. Step 2: Convert to fraction form
    1,996,644,634/4,270,252,845 = 4,270,252,845/x
  3. Step 3: Cross multiply
    1,996,644,634x = 4,270,252,845 × 4,270,252,845
  4. Step 4: Simplify right side
    1,996,644,634x = 18,235,059,360,230,594,560
  5. Step 5: Solve for x
    x = 18,235,059,360,230,594,560/1,996,644,634
  6. Step 6: Final answer
    x = 9,132,851,710.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.