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Finding the Third Proportional to 1,887,840,288 and 2,857,967,280

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Solution

The third proportional to 1,887,840,288 and 2,857,967,280 is: 4,326,624,993.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,887,840,288 : 2,857,967,280 = 2,857,967,280 : x
  2. Step 2: Convert to fraction form
    1,887,840,288/2,857,967,280 = 2,857,967,280/x
  3. Step 3: Cross multiply
    1,887,840,288x = 2,857,967,280 × 2,857,967,280
  4. Step 4: Simplify right side
    1,887,840,288x = 8,167,976,973,550,598,144
  5. Step 5: Solve for x
    x = 8,167,976,973,550,598,144/1,887,840,288
  6. Step 6: Final answer
    x = 4,326,624,993.37

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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.