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Finding the Third Proportional to 267,239,511 and 558,913,401

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Solution

The third proportional to 267,239,511 and 558,913,401 is: 1,168,929,656.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,239,511 : 558,913,401 = 558,913,401 : x
  2. Step 2: Convert to fraction form
    267,239,511/558,913,401 = 558,913,401/x
  3. Step 3: Cross multiply
    267,239,511x = 558,913,401 × 558,913,401
  4. Step 4: Simplify right side
    267,239,511x = 312,384,189,817,386,816
  5. Step 5: Solve for x
    x = 312,384,189,817,386,816/267,239,511
  6. Step 6: Final answer
    x = 1,168,929,656.58

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.