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Finding the Third Proportional to 282,093,387.75 and 427,406,436

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Solution

The third proportional to 282,093,387.75 and 427,406,436 is: 647,573,709.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,093,387.75 : 427,406,436 = 427,406,436 : x
  2. Step 2: Convert to fraction form
    282,093,387.75/427,406,436 = 427,406,436/x
  3. Step 3: Cross multiply
    282,093,387.75x = 427,406,436 × 427,406,436
  4. Step 4: Simplify right side
    282,093,387.75x = 182,676,261,534,222,080
  5. Step 5: Solve for x
    x = 182,676,261,534,222,080/282,093,387.75
  6. Step 6: Final answer
    x = 647,573,709.51

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.