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Finding the Third Proportional to 1,682,488,435.50 and 3,894,656,107.50

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Solution

The third proportional to 1,682,488,435.50 and 3,894,656,107.50 is: 9,015,423,747.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,488,435.50 : 3,894,656,107.50 = 3,894,656,107.50 : x
  2. Step 2: Convert to fraction form
    1,682,488,435.50/3,894,656,107.50 = 3,894,656,107.50/x
  3. Step 3: Cross multiply
    1,682,488,435.50x = 3,894,656,107.50 × 3,894,656,107.50
  4. Step 4: Simplify right side
    1,682,488,435.50x = 15,168,346,195,687,051,264
  5. Step 5: Solve for x
    x = 15,168,346,195,687,051,264/1,682,488,435.50
  6. Step 6: Final answer
    x = 9,015,423,747.14

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.