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Finding the Third Proportional to 2,619,288,732 and 3,927,971,016

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Solution

The third proportional to 2,619,288,732 and 3,927,971,016 is: 5,890,513,754.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,619,288,732 : 3,927,971,016 = 3,927,971,016 : x
  2. Step 2: Convert to fraction form
    2,619,288,732/3,927,971,016 = 3,927,971,016/x
  3. Step 3: Cross multiply
    2,619,288,732x = 3,927,971,016 × 3,927,971,016
  4. Step 4: Simplify right side
    2,619,288,732x = 15,428,956,302,536,073,216
  5. Step 5: Solve for x
    x = 15,428,956,302,536,073,216/2,619,288,732
  6. Step 6: Final answer
    x = 5,890,513,754.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.