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Finding the Third Proportional to 8,769,381,877 and 18,003,655,319

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Solution

The third proportional to 8,769,381,877 and 18,003,655,319 is: 36,961,739,081.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,769,381,877 : 18,003,655,319 = 18,003,655,319 : x
  2. Step 2: Convert to fraction form
    8,769,381,877/18,003,655,319 = 18,003,655,319/x
  3. Step 3: Cross multiply
    8,769,381,877x = 18,003,655,319 × 18,003,655,319
  4. Step 4: Simplify right side
    8,769,381,877x = 324,131,604,845,356,974,080
  5. Step 5: Solve for x
    x = 324,131,604,845,356,974,080/8,769,381,877
  6. Step 6: Final answer
    x = 36,961,739,081.69

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.