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Finding the Third Proportional to 3,790,505,091 and 8,106,808,221

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Solution

The third proportional to 3,790,505,091 and 8,106,808,221 is: 17,338,148,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790,505,091 : 8,106,808,221 = 8,106,808,221 : x
  2. Step 2: Convert to fraction form
    3,790,505,091/8,106,808,221 = 8,106,808,221/x
  3. Step 3: Cross multiply
    3,790,505,091x = 8,106,808,221 × 8,106,808,221
  4. Step 4: Simplify right side
    3,790,505,091x = 65,720,339,532,073,181,184
  5. Step 5: Solve for x
    x = 65,720,339,532,073,181,184/3,790,505,091
  6. Step 6: Final answer
    x = 17,338,148,334.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.