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Finding the Third Proportional to 848,625,372 and 1,267,711,806

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Solution

The third proportional to 848,625,372 and 1,267,711,806 is: 1,893,760,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,625,372 : 1,267,711,806 = 1,267,711,806 : x
  2. Step 2: Convert to fraction form
    848,625,372/1,267,711,806 = 1,267,711,806/x
  3. Step 3: Cross multiply
    848,625,372x = 1,267,711,806 × 1,267,711,806
  4. Step 4: Simplify right side
    848,625,372x = 1,607,093,223,071,781,632
  5. Step 5: Solve for x
    x = 1,607,093,223,071,781,632/848,625,372
  6. Step 6: Final answer
    x = 1,893,760,516.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.