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Finding the Third Proportional to 468,259,780,169 and 745,093,362,693

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Solution

The third proportional to 468,259,780,169 and 745,093,362,693 is: 1,185,590,013,579.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,259,780,169 : 745,093,362,693 = 745,093,362,693 : x
  2. Step 2: Convert to fraction form
    468,259,780,169/745,093,362,693 = 745,093,362,693/x
  3. Step 3: Cross multiply
    468,259,780,169x = 745,093,362,693 × 745,093,362,693
  4. Step 4: Simplify right side
    468,259,780,169x = 555,164,119,129,162,464,100,352
  5. Step 5: Solve for x
    x = 555,164,119,129,162,464,100,352/468,259,780,169
  6. Step 6: Final answer
    x = 1,185,590,013,579.21

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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.