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Finding the Third Proportional to 1,630,625,714 and 2,493,363,119

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Solution

The third proportional to 1,630,625,714 and 2,493,363,119 is: 3,812,560,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,630,625,714 : 2,493,363,119 = 2,493,363,119 : x
  2. Step 2: Convert to fraction form
    1,630,625,714/2,493,363,119 = 2,493,363,119/x
  3. Step 3: Cross multiply
    1,630,625,714x = 2,493,363,119 × 2,493,363,119
  4. Step 4: Simplify right side
    1,630,625,714x = 6,216,859,643,189,407,744
  5. Step 5: Solve for x
    x = 6,216,859,643,189,407,744/1,630,625,714
  6. Step 6: Final answer
    x = 3,812,560,779.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.