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Finding the Third Proportional to 2,482,452,930 and 5,400,750,498

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Solution

The third proportional to 2,482,452,930 and 5,400,750,498 is: 11,749,711,581.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,482,452,930 : 5,400,750,498 = 5,400,750,498 : x
  2. Step 2: Convert to fraction form
    2,482,452,930/5,400,750,498 = 5,400,750,498/x
  3. Step 3: Cross multiply
    2,482,452,930x = 5,400,750,498 × 5,400,750,498
  4. Step 4: Simplify right side
    2,482,452,930x = 29,168,105,941,647,249,408
  5. Step 5: Solve for x
    x = 29,168,105,941,647,249,408/2,482,452,930
  6. Step 6: Final answer
    x = 11,749,711,581.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.