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Finding the Third Proportional to 311,020,769 and 668,197,867

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Solution

The third proportional to 311,020,769 and 668,197,867 is: 1,435,558,116.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,020,769 : 668,197,867 = 668,197,867 : x
  2. Step 2: Convert to fraction form
    311,020,769/668,197,867 = 668,197,867/x
  3. Step 3: Cross multiply
    311,020,769x = 668,197,867 × 668,197,867
  4. Step 4: Simplify right side
    311,020,769x = 446,488,389,463,349,696
  5. Step 5: Solve for x
    x = 446,488,389,463,349,696/311,020,769
  6. Step 6: Final answer
    x = 1,435,558,116.90

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