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Finding the Third Proportional to 3,682,263,281.34 and 8,077,431,699.84

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Solution

The third proportional to 3,682,263,281.34 and 8,077,431,699.84 is: 17,718,695,780.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682,263,281.34 : 8,077,431,699.84 = 8,077,431,699.84 : x
  2. Step 2: Convert to fraction form
    3,682,263,281.34/8,077,431,699.84 = 8,077,431,699.84/x
  3. Step 3: Cross multiply
    3,682,263,281.34x = 8,077,431,699.84 × 8,077,431,699.84
  4. Step 4: Simplify right side
    3,682,263,281.34x = 65,244,902,865,644,732,416
  5. Step 5: Solve for x
    x = 65,244,902,865,644,732,416/3,682,263,281.34
  6. Step 6: Final answer
    x = 17,718,695,780.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.