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Finding the Third Proportional to 1,583,338,754 and 2,147,942,517

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Solution

The third proportional to 1,583,338,754 and 2,147,942,517 is: 2,913,878,691.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583,338,754 : 2,147,942,517 = 2,147,942,517 : x
  2. Step 2: Convert to fraction form
    1,583,338,754/2,147,942,517 = 2,147,942,517/x
  3. Step 3: Cross multiply
    1,583,338,754x = 2,147,942,517 × 2,147,942,517
  4. Step 4: Simplify right side
    1,583,338,754x = 4,613,657,056,336,294,912
  5. Step 5: Solve for x
    x = 4,613,657,056,336,294,912/1,583,338,754
  6. Step 6: Final answer
    x = 2,913,878,691.27

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.