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Finding the Third Proportional to 405,445,080,159 and 552,146,994,515.25

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Solution

The third proportional to 405,445,080,159 and 552,146,994,515.25 is: 751,929,961,593.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,445,080,159 : 552,146,994,515.25 = 552,146,994,515.25 : x
  2. Step 2: Convert to fraction form
    405,445,080,159/552,146,994,515.25 = 552,146,994,515.25/x
  3. Step 3: Cross multiply
    405,445,080,159x = 552,146,994,515.25 × 552,146,994,515.25
  4. Step 4: Simplify right side
    405,445,080,159x = 304,866,303,552,223,520,489,472
  5. Step 5: Solve for x
    x = 304,866,303,552,223,520,489,472/405,445,080,159
  6. Step 6: Final answer
    x = 751,929,961,593.48

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.