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Finding the Third Proportional to 62,876,674,872 and 136,362,241,152

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Solution

The third proportional to 62,876,674,872 and 136,362,241,152 is: 295,732,254,446.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,876,674,872 : 136,362,241,152 = 136,362,241,152 : x
  2. Step 2: Convert to fraction form
    62,876,674,872/136,362,241,152 = 136,362,241,152/x
  3. Step 3: Cross multiply
    62,876,674,872x = 136,362,241,152 × 136,362,241,152
  4. Step 4: Simplify right side
    62,876,674,872x = 18,594,660,811,996,202,532,864
  5. Step 5: Solve for x
    x = 18,594,660,811,996,202,532,864/62,876,674,872
  6. Step 6: Final answer
    x = 295,732,254,446.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.