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Finding the Third Proportional to 468,259,780,101.18 and 745,093,362,593.82

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Solution

The third proportional to 468,259,780,101.18 and 745,093,362,593.82 is: 1,185,590,013,435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,259,780,101.18 : 745,093,362,593.82 = 745,093,362,593.82 : x
  2. Step 2: Convert to fraction form
    468,259,780,101.18/745,093,362,593.82 = 745,093,362,593.82/x
  3. Step 3: Cross multiply
    468,259,780,101.18x = 745,093,362,593.82 × 745,093,362,593.82
  4. Step 4: Simplify right side
    468,259,780,101.18x = 555,164,118,981,365,660,123,136
  5. Step 5: Solve for x
    x = 555,164,118,981,365,660,123,136/468,259,780,101.18
  6. Step 6: Final answer
    x = 1,185,590,013,435.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.