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Finding the Third Proportional to 512,812,832 and 1,209,344,336

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Solution

The third proportional to 512,812,832 and 1,209,344,336 is: 2,851,944,475.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,812,832 : 1,209,344,336 = 1,209,344,336 : x
  2. Step 2: Convert to fraction form
    512,812,832/1,209,344,336 = 1,209,344,336/x
  3. Step 3: Cross multiply
    512,812,832x = 1,209,344,336 × 1,209,344,336
  4. Step 4: Simplify right side
    512,812,832x = 1,462,513,723,015,280,896
  5. Step 5: Solve for x
    x = 1,462,513,723,015,280,896/512,812,832
  6. Step 6: Final answer
    x = 2,851,944,475.16

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.