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Finding the Third Proportional to 1,288,080,306 and 2,829,207,690

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Solution

The third proportional to 1,288,080,306 and 2,829,207,690 is: 6,214,221,361.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,080,306 : 2,829,207,690 = 2,829,207,690 : x
  2. Step 2: Convert to fraction form
    1,288,080,306/2,829,207,690 = 2,829,207,690/x
  3. Step 3: Cross multiply
    1,288,080,306x = 2,829,207,690 × 2,829,207,690
  4. Step 4: Simplify right side
    1,288,080,306x = 8,004,416,153,155,136,512
  5. Step 5: Solve for x
    x = 8,004,416,153,155,136,512/1,288,080,306
  6. Step 6: Final answer
    x = 6,214,221,361.72

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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.