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Finding the Third Proportional to 1,662,753,760 and 2,324,627,768

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Solution

The third proportional to 1,662,753,760 and 2,324,627,768 is: 3,249,966,645.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,662,753,760 : 2,324,627,768 = 2,324,627,768 : x
  2. Step 2: Convert to fraction form
    1,662,753,760/2,324,627,768 = 2,324,627,768/x
  3. Step 3: Cross multiply
    1,662,753,760x = 2,324,627,768 × 2,324,627,768
  4. Step 4: Simplify right side
    1,662,753,760x = 5,403,894,259,756,661,760
  5. Step 5: Solve for x
    x = 5,403,894,259,756,661,760/1,662,753,760
  6. Step 6: Final answer
    x = 3,249,966,645.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.