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Finding the Third Proportional to 663,858,181.69 and 1,447,859,206.69

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Solution

The third proportional to 663,858,181.69 and 1,447,859,206.69 is: 3,157,747,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,858,181.69 : 1,447,859,206.69 = 1,447,859,206.69 : x
  2. Step 2: Convert to fraction form
    663,858,181.69/1,447,859,206.69 = 1,447,859,206.69/x
  3. Step 3: Cross multiply
    663,858,181.69x = 1,447,859,206.69 × 1,447,859,206.69
  4. Step 4: Simplify right side
    663,858,181.69x = 2,096,296,282,389,756,928
  5. Step 5: Solve for x
    x = 2,096,296,282,389,756,928/663,858,181.69
  6. Step 6: Final answer
    x = 3,157,747,151.75

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.