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Finding the Third Proportional to 663,858,182.25 and 1,447,859,209.50

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Solution

The third proportional to 663,858,182.25 and 1,447,859,209.50 is: 3,157,747,161.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,858,182.25 : 1,447,859,209.50 = 1,447,859,209.50 : x
  2. Step 2: Convert to fraction form
    663,858,182.25/1,447,859,209.50 = 1,447,859,209.50/x
  3. Step 3: Cross multiply
    663,858,182.25x = 1,447,859,209.50 × 1,447,859,209.50
  4. Step 4: Simplify right side
    663,858,182.25x = 2,096,296,290,533,964,800
  5. Step 5: Solve for x
    x = 2,096,296,290,533,964,800/663,858,182.25
  6. Step 6: Final answer
    x = 3,157,747,161.34

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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.