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Finding the Third Proportional to 529,865,192,786.60 and 1,155,630,409,080.80

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Solution

The third proportional to 529,865,192,786.60 and 1,155,630,409,080.80 is: 2,520,417,760,164.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,865,192,786.60 : 1,155,630,409,080.80 = 1,155,630,409,080.80 : x
  2. Step 2: Convert to fraction form
    529,865,192,786.60/1,155,630,409,080.80 = 1,155,630,409,080.80/x
  3. Step 3: Cross multiply
    529,865,192,786.60x = 1,155,630,409,080.80 × 1,155,630,409,080.80
  4. Step 4: Simplify right side
    529,865,192,786.60x = 1,335,481,642,392,257,197,768,704
  5. Step 5: Solve for x
    x = 1,335,481,642,392,257,197,768,704/529,865,192,786.60
  6. Step 6: Final answer
    x = 2,520,417,760,164.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.