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Finding the Third Proportional to 18,705,881,182 and 40,704,751,484

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Solution

The third proportional to 18,705,881,182 and 40,704,751,484 is: 88,575,180,033.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705,881,182 : 40,704,751,484 = 40,704,751,484 : x
  2. Step 2: Convert to fraction form
    18,705,881,182/40,704,751,484 = 40,704,751,484/x
  3. Step 3: Cross multiply
    18,705,881,182x = 40,704,751,484 × 40,704,751,484
  4. Step 4: Simplify right side
    18,705,881,182x = 1,656,876,793,374,200,299,520
  5. Step 5: Solve for x
    x = 1,656,876,793,374,200,299,520/18,705,881,182
  6. Step 6: Final answer
    x = 88,575,180,033.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.