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Finding the Third Proportional to 3,727,354,052 and 8,282,127,658

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Solution

The third proportional to 3,727,354,052 and 8,282,127,658 is: 18,402,769,789.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,727,354,052 : 8,282,127,658 = 8,282,127,658 : x
  2. Step 2: Convert to fraction form
    3,727,354,052/8,282,127,658 = 8,282,127,658/x
  3. Step 3: Cross multiply
    3,727,354,052x = 8,282,127,658 × 8,282,127,658
  4. Step 4: Simplify right side
    3,727,354,052x = 68,593,638,543,408,562,176
  5. Step 5: Solve for x
    x = 68,593,638,543,408,562,176/3,727,354,052
  6. Step 6: Final answer
    x = 18,402,769,789.63

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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.