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Finding the Third Proportional to 359,747,453,376 and 799,929,302,976

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Solution

The third proportional to 359,747,453,376 and 799,929,302,976 is: 1,778,711,381,428.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747,453,376 : 799,929,302,976 = 799,929,302,976 : x
  2. Step 2: Convert to fraction form
    359,747,453,376/799,929,302,976 = 799,929,302,976/x
  3. Step 3: Cross multiply
    359,747,453,376x = 799,929,302,976 × 799,929,302,976
  4. Step 4: Simplify right side
    359,747,453,376x = 639,886,889,759,669,206,646,784
  5. Step 5: Solve for x
    x = 639,886,889,759,669,206,646,784/359,747,453,376
  6. Step 6: Final answer
    x = 1,778,711,381,428.11

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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.