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Finding the Third Proportional to 359,747,451,351 and 799,929,298,341

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Solution

The third proportional to 359,747,451,351 and 799,929,298,341 is: 1,778,711,370,827.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747,451,351 : 799,929,298,341 = 799,929,298,341 : x
  2. Step 2: Convert to fraction form
    359,747,451,351/799,929,298,341 = 799,929,298,341/x
  3. Step 3: Cross multiply
    359,747,451,351x = 799,929,298,341 × 799,929,298,341
  4. Step 4: Simplify right side
    359,747,451,351x = 639,886,882,344,324,552,458,240
  5. Step 5: Solve for x
    x = 639,886,882,344,324,552,458,240/359,747,451,351
  6. Step 6: Final answer
    x = 1,778,711,370,827.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.