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Finding the Third Proportional to 1,288,080,310 and 2,829,207,698

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Solution

The third proportional to 1,288,080,310 and 2,829,207,698 is: 6,214,221,377.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,080,310 : 2,829,207,698 = 2,829,207,698 : x
  2. Step 2: Convert to fraction form
    1,288,080,310/2,829,207,698 = 2,829,207,698/x
  3. Step 3: Cross multiply
    1,288,080,310x = 2,829,207,698 × 2,829,207,698
  4. Step 4: Simplify right side
    1,288,080,310x = 8,004,416,198,422,459,392
  5. Step 5: Solve for x
    x = 8,004,416,198,422,459,392/1,288,080,310
  6. Step 6: Final answer
    x = 6,214,221,377.56

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.