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Finding the Third Proportional to 267,497,765 and 376,695,799

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Solution

The third proportional to 267,497,765 and 376,695,799 is: 530,470,693.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,497,765 : 376,695,799 = 376,695,799 : x
  2. Step 2: Convert to fraction form
    267,497,765/376,695,799 = 376,695,799/x
  3. Step 3: Cross multiply
    267,497,765x = 376,695,799 × 376,695,799
  4. Step 4: Simplify right side
    267,497,765x = 141,899,724,984,248,400
  5. Step 5: Solve for x
    x = 141,899,724,984,248,400/267,497,765
  6. Step 6: Final answer
    x = 530,470,693.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.