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Finding the Third Proportional to 335,588,914.88 and 729,270,973.88

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Solution

The third proportional to 335,588,914.88 and 729,270,973.88 is: 1,584,784,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,588,914.88 : 729,270,973.88 = 729,270,973.88 : x
  2. Step 2: Convert to fraction form
    335,588,914.88/729,270,973.88 = 729,270,973.88/x
  3. Step 3: Cross multiply
    335,588,914.88x = 729,270,973.88 × 729,270,973.88
  4. Step 4: Simplify right side
    335,588,914.88x = 531,836,153,336,590,912
  5. Step 5: Solve for x
    x = 531,836,153,336,590,912/335,588,914.88
  6. Step 6: Final answer
    x = 1,584,784,627.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.