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Finding the Third Proportional to 468,259,780,167 and 745,093,362,690

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Solution

The third proportional to 468,259,780,167 and 745,093,362,690 is: 1,185,590,013,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,259,780,167 : 745,093,362,690 = 745,093,362,690 : x
  2. Step 2: Convert to fraction form
    468,259,780,167/745,093,362,690 = 745,093,362,690/x
  3. Step 3: Cross multiply
    468,259,780,167x = 745,093,362,690 × 745,093,362,690
  4. Step 4: Simplify right side
    468,259,780,167x = 555,164,119,124,691,872,907,264
  5. Step 5: Solve for x
    x = 555,164,119,124,691,872,907,264/468,259,780,167
  6. Step 6: Final answer
    x = 1,185,590,013,574.73

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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.