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Finding the Third Proportional to 2,488,165,821 and 5,345,582,170

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Solution

The third proportional to 2,488,165,821 and 5,345,582,170 is: 11,484,463,171.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488,165,821 : 5,345,582,170 = 5,345,582,170 : x
  2. Step 2: Convert to fraction form
    2,488,165,821/5,345,582,170 = 5,345,582,170/x
  3. Step 3: Cross multiply
    2,488,165,821x = 5,345,582,170 × 5,345,582,170
  4. Step 4: Simplify right side
    2,488,165,821x = 28,575,248,736,221,908,992
  5. Step 5: Solve for x
    x = 28,575,248,736,221,908,992/2,488,165,821
  6. Step 6: Final answer
    x = 11,484,463,171.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.