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Finding the Third Proportional to 359,747,451,517.88 and 799,929,298,657.90

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Solution

The third proportional to 359,747,451,517.88 and 799,929,298,657.90 is: 1,778,711,371,411.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747,451,517.88 : 799,929,298,657.90 = 799,929,298,657.90 : x
  2. Step 2: Convert to fraction form
    359,747,451,517.88/799,929,298,657.90 = 799,929,298,657.90/x
  3. Step 3: Cross multiply
    359,747,451,517.88x = 799,929,298,657.90 × 799,929,298,657.90
  4. Step 4: Simplify right side
    359,747,451,517.88x = 639,886,882,851,319,806,164,992
  5. Step 5: Solve for x
    x = 639,886,882,851,319,806,164,992/359,747,451,517.88
  6. Step 6: Final answer
    x = 1,778,711,371,411.94

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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.