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Finding the Third Proportional to 1,326,538,903.50 and 2,839,424,976

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Solution

The third proportional to 1,326,538,903.50 and 2,839,424,976 is: 6,077,721,635.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,538,903.50 : 2,839,424,976 = 2,839,424,976 : x
  2. Step 2: Convert to fraction form
    1,326,538,903.50/2,839,424,976 = 2,839,424,976/x
  3. Step 3: Cross multiply
    1,326,538,903.50x = 2,839,424,976 × 2,839,424,976
  4. Step 4: Simplify right side
    1,326,538,903.50x = 8,062,334,194,332,600,320
  5. Step 5: Solve for x
    x = 8,062,334,194,332,600,320/1,326,538,903.50
  6. Step 6: Final answer
    x = 6,077,721,635.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.