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Finding the Third Proportional to 558,826,238 and 1,175,563,750

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Solution

The third proportional to 558,826,238 and 1,175,563,750 is: 2,472,951,404.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,826,238 : 1,175,563,750 = 1,175,563,750 : x
  2. Step 2: Convert to fraction form
    558,826,238/1,175,563,750 = 1,175,563,750/x
  3. Step 3: Cross multiply
    558,826,238x = 1,175,563,750 × 1,175,563,750
  4. Step 4: Simplify right side
    558,826,238x = 1,381,950,130,314,062,592
  5. Step 5: Solve for x
    x = 1,381,950,130,314,062,592/558,826,238
  6. Step 6: Final answer
    x = 2,472,951,404.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.