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Finding the Third Proportional to 8,430,262,991,421 and 11,374,404,155,149

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Solution

The third proportional to 8,430,262,991,421 and 11,374,404,155,149 is: 15,346,741,853,288.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,430,262,991,421 : 11,374,404,155,149 = 11,374,404,155,149 : x
  2. Step 2: Convert to fraction form
    8,430,262,991,421/11,374,404,155,149 = 11,374,404,155,149/x
  3. Step 3: Cross multiply
    8,430,262,991,421x = 11,374,404,155,149 × 11,374,404,155,149
  4. Step 4: Simplify right side
    8,430,262,991,421x = 129,377,069,884,670,839,162,404,864
  5. Step 5: Solve for x
    x = 129,377,069,884,670,839,162,404,864/8,430,262,991,421
  6. Step 6: Final answer
    x = 15,346,741,853,288.63

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.