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Finding the Third Proportional to 359,747,449,051.74 and 799,929,293,714.49

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Solution

The third proportional to 359,747,449,051.74 and 799,929,293,714.49 is: 1,778,711,361,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,747,449,051.74 : 799,929,293,714.49 = 799,929,293,714.49 : x
  2. Step 2: Convert to fraction form
    359,747,449,051.74/799,929,293,714.49 = 799,929,293,714.49/x
  3. Step 3: Cross multiply
    359,747,449,051.74x = 799,929,293,714.49 × 799,929,293,714.49
  4. Step 4: Simplify right side
    359,747,449,051.74x = 639,886,874,942,562,732,343,296
  5. Step 5: Solve for x
    x = 639,886,874,942,562,732,343,296/359,747,449,051.74
  6. Step 6: Final answer
    x = 1,778,711,361,621.17

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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.