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Finding the Third Proportional to 8,063,521,290 and 11,211,681,814

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Solution

The third proportional to 8,063,521,290 and 11,211,681,814 is: 15,588,947,381.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,063,521,290 : 11,211,681,814 = 11,211,681,814 : x
  2. Step 2: Convert to fraction form
    8,063,521,290/11,211,681,814 = 11,211,681,814/x
  3. Step 3: Cross multiply
    8,063,521,290x = 11,211,681,814 × 11,211,681,814
  4. Step 4: Simplify right side
    8,063,521,290x = 125,701,809,098,378,330,112
  5. Step 5: Solve for x
    x = 125,701,809,098,378,330,112/8,063,521,290
  6. Step 6: Final answer
    x = 15,588,947,381.37

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.