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Finding the Third Proportional to 359,747,458,366.50 and 799,929,312,251.64

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Solution

The third proportional to 359,747,458,366.50 and 799,929,312,251.64 is: 1,778,711,398,003.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747,458,366.50 : 799,929,312,251.64 = 799,929,312,251.64 : x
  2. Step 2: Convert to fraction form
    359,747,458,366.50/799,929,312,251.64 = 799,929,312,251.64/x
  3. Step 3: Cross multiply
    359,747,458,366.50x = 799,929,312,251.64 × 799,929,312,251.64
  4. Step 4: Simplify right side
    359,747,458,366.50x = 639,886,904,599,381,838,659,584
  5. Step 5: Solve for x
    x = 639,886,904,599,381,838,659,584/359,747,458,366.50
  6. Step 6: Final answer
    x = 1,778,711,398,003.77

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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.