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Finding the Third Proportional to 4,102,261,786,290 and 8,735,088,757,812

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Solution

The third proportional to 4,102,261,786,290 and 8,735,088,757,812 is: 18,599,928,425,303.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,102,261,786,290 : 8,735,088,757,812 = 8,735,088,757,812 : x
  2. Step 2: Convert to fraction form
    4,102,261,786,290/8,735,088,757,812 = 8,735,088,757,812/x
  3. Step 3: Cross multiply
    4,102,261,786,290x = 8,735,088,757,812 × 8,735,088,757,812
  4. Step 4: Simplify right side
    4,102,261,786,290x = 76,301,775,606,853,588,851,097,600
  5. Step 5: Solve for x
    x = 76,301,775,606,853,588,851,097,600/4,102,261,786,290
  6. Step 6: Final answer
    x = 18,599,928,425,303.96

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.