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Finding the Third Proportional to 4,081,258,560 and 6,120,824,919

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Solution

The third proportional to 4,081,258,560 and 6,120,824,919 is: 9,179,643,273.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,081,258,560 : 6,120,824,919 = 6,120,824,919 : x
  2. Step 2: Convert to fraction form
    4,081,258,560/6,120,824,919 = 6,120,824,919/x
  3. Step 3: Cross multiply
    4,081,258,560x = 6,120,824,919 × 6,120,824,919
  4. Step 4: Simplify right side
    4,081,258,560x = 37,464,497,689,051,357,184
  5. Step 5: Solve for x
    x = 37,464,497,689,051,357,184/4,081,258,560
  6. Step 6: Final answer
    x = 9,179,643,273.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.