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Finding the Third Proportional to 282,645,148 and 425,382,954

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Solution

The third proportional to 282,645,148 and 425,382,954 is: 640,204,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,645,148 : 425,382,954 = 425,382,954 : x
  2. Step 2: Convert to fraction form
    282,645,148/425,382,954 = 425,382,954/x
  3. Step 3: Cross multiply
    282,645,148x = 425,382,954 × 425,382,954
  4. Step 4: Simplify right side
    282,645,148x = 180,950,657,553,766,112
  5. Step 5: Solve for x
    x = 180,950,657,553,766,112/282,645,148
  6. Step 6: Final answer
    x = 640,204,365.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.