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Finding the Third Proportional to 376,261,980 and 810,185,304

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Solution

The third proportional to 376,261,980 and 810,185,304 is: 1,744,529,773.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,261,980 : 810,185,304 = 810,185,304 : x
  2. Step 2: Convert to fraction form
    376,261,980/810,185,304 = 810,185,304/x
  3. Step 3: Cross multiply
    376,261,980x = 810,185,304 × 810,185,304
  4. Step 4: Simplify right side
    376,261,980x = 656,400,226,817,572,352
  5. Step 5: Solve for x
    x = 656,400,226,817,572,352/376,261,980
  6. Step 6: Final answer
    x = 1,744,529,773.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.