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Finding the Third Proportional to 376,261,984 and 810,185,312

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Solution

The third proportional to 376,261,984 and 810,185,312 is: 1,744,529,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,261,984 : 810,185,312 = 810,185,312 : x
  2. Step 2: Convert to fraction form
    376,261,984/810,185,312 = 810,185,312/x
  3. Step 3: Cross multiply
    376,261,984x = 810,185,312 × 810,185,312
  4. Step 4: Simplify right side
    376,261,984x = 656,400,239,780,537,344
  5. Step 5: Solve for x
    x = 656,400,239,780,537,344/376,261,984
  6. Step 6: Final answer
    x = 1,744,529,789.60

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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.