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Finding the Third Proportional to 137,019,331,431 and 285,314,774,240

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Solution

The third proportional to 137,019,331,431 and 285,314,774,240 is: 594,109,747,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,019,331,431 : 285,314,774,240 = 285,314,774,240 : x
  2. Step 2: Convert to fraction form
    137,019,331,431/285,314,774,240 = 285,314,774,240/x
  3. Step 3: Cross multiply
    137,019,331,431x = 285,314,774,240 × 285,314,774,240
  4. Step 4: Simplify right side
    137,019,331,431x = 81,404,520,399,622,167,855,104
  5. Step 5: Solve for x
    x = 81,404,520,399,622,167,855,104/137,019,331,431
  6. Step 6: Final answer
    x = 594,109,747,503.88

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.