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Finding the Third Proportional to 3,727,354,056 and 8,282,127,666

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Solution

The third proportional to 3,727,354,056 and 8,282,127,666 is: 18,402,769,805.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727,354,056 : 8,282,127,666 = 8,282,127,666 : x
  2. Step 2: Convert to fraction form
    3,727,354,056/8,282,127,666 = 8,282,127,666/x
  3. Step 3: Cross multiply
    3,727,354,056x = 8,282,127,666 × 8,282,127,666
  4. Step 4: Simplify right side
    3,727,354,056x = 68,593,638,675,922,608,128
  5. Step 5: Solve for x
    x = 68,593,638,675,922,608,128/3,727,354,056
  6. Step 6: Final answer
    x = 18,402,769,805.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.