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Finding the Third Proportional to 333,407,993,881.50 and 715,215,605,811

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Solution

The third proportional to 333,407,993,881.50 and 715,215,605,811 is: 1,534,256,443,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,407,993,881.50 : 715,215,605,811 = 715,215,605,811 : x
  2. Step 2: Convert to fraction form
    333,407,993,881.50/715,215,605,811 = 715,215,605,811/x
  3. Step 3: Cross multiply
    333,407,993,881.50x = 715,215,605,811 × 715,215,605,811
  4. Step 4: Simplify right side
    333,407,993,881.50x = 511,533,362,795,595,761,188,864
  5. Step 5: Solve for x
    x = 511,533,362,795,595,761,188,864/333,407,993,881.50
  6. Step 6: Final answer
    x = 1,534,256,443,105.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.