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Finding the Third Proportional to 3,829,282,032 and 8,384,977,332

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Solution

The third proportional to 3,829,282,032 and 8,384,977,332 is: 18,360,581,506.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,282,032 : 8,384,977,332 = 8,384,977,332 : x
  2. Step 2: Convert to fraction form
    3,829,282,032/8,384,977,332 = 8,384,977,332/x
  3. Step 3: Cross multiply
    3,829,282,032x = 8,384,977,332 × 8,384,977,332
  4. Step 4: Simplify right side
    3,829,282,032x = 70,307,844,858,153,836,544
  5. Step 5: Solve for x
    x = 70,307,844,858,153,836,544/3,829,282,032
  6. Step 6: Final answer
    x = 18,360,581,506.04

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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.