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Finding the Third Proportional to 1,326,538,710 and 2,839,424,583

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Solution

The third proportional to 1,326,538,710 and 2,839,424,583 is: 6,077,720,839.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,326,538,710 : 2,839,424,583 = 2,839,424,583 : x
  2. Step 2: Convert to fraction form
    1,326,538,710/2,839,424,583 = 2,839,424,583/x
  3. Step 3: Cross multiply
    1,326,538,710x = 2,839,424,583 × 2,839,424,583
  4. Step 4: Simplify right side
    1,326,538,710x = 8,062,331,962,544,723,968
  5. Step 5: Solve for x
    x = 8,062,331,962,544,723,968/1,326,538,710
  6. Step 6: Final answer
    x = 6,077,720,839.78

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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.