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Finding the Third Proportional to 18,705,881,180 and 40,704,751,480

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Solution

The third proportional to 18,705,881,180 and 40,704,751,480 is: 88,575,180,025.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,705,881,180 : 40,704,751,480 = 40,704,751,480 : x
  2. Step 2: Convert to fraction form
    18,705,881,180/40,704,751,480 = 40,704,751,480/x
  3. Step 3: Cross multiply
    18,705,881,180x = 40,704,751,480 × 40,704,751,480
  4. Step 4: Simplify right side
    18,705,881,180x = 1,656,876,793,048,562,139,136
  5. Step 5: Solve for x
    x = 1,656,876,793,048,562,139,136/18,705,881,180
  6. Step 6: Final answer
    x = 88,575,180,025.20

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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.