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Finding the Third Proportional to 1,380,960,576 and 2,957,806,368

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Solution

The third proportional to 1,380,960,576 and 2,957,806,368 is: 6,335,168,912.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,960,576 : 2,957,806,368 = 2,957,806,368 : x
  2. Step 2: Convert to fraction form
    1,380,960,576/2,957,806,368 = 2,957,806,368/x
  3. Step 3: Cross multiply
    1,380,960,576x = 2,957,806,368 × 2,957,806,368
  4. Step 4: Simplify right side
    1,380,960,576x = 8,748,618,510,581,351,424
  5. Step 5: Solve for x
    x = 8,748,618,510,581,351,424/1,380,960,576
  6. Step 6: Final answer
    x = 6,335,168,912.59

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