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Finding the Third Proportional to 287,128,314 and 626,228,496

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Solution

The third proportional to 287,128,314 and 626,228,496 is: 1,365,807,933.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,128,314 : 626,228,496 = 626,228,496 : x
  2. Step 2: Convert to fraction form
    287,128,314/626,228,496 = 626,228,496/x
  3. Step 3: Cross multiply
    287,128,314x = 626,228,496 × 626,228,496
  4. Step 4: Simplify right side
    287,128,314x = 392,162,129,202,422,016
  5. Step 5: Solve for x
    x = 392,162,129,202,422,016/287,128,314
  6. Step 6: Final answer
    x = 1,365,807,933.53

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.