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Finding the Third Proportional to 359,694,916 and 848,826,346

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Solution

The third proportional to 359,694,916 and 848,826,346 is: 2,003,103,556.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,694,916 : 848,826,346 = 848,826,346 : x
  2. Step 2: Convert to fraction form
    359,694,916/848,826,346 = 848,826,346/x
  3. Step 3: Cross multiply
    359,694,916x = 848,826,346 × 848,826,346
  4. Step 4: Simplify right side
    359,694,916x = 720,506,165,663,711,744
  5. Step 5: Solve for x
    x = 720,506,165,663,711,744/359,694,916
  6. Step 6: Final answer
    x = 2,003,103,556.97

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.