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Finding the Third Proportional to 432,002,726 and 950,138,260

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Solution

The third proportional to 432,002,726 and 950,138,260 is: 2,089,715,316.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,002,726 : 950,138,260 = 950,138,260 : x
  2. Step 2: Convert to fraction form
    432,002,726/950,138,260 = 950,138,260/x
  3. Step 3: Cross multiply
    432,002,726x = 950,138,260 × 950,138,260
  4. Step 4: Simplify right side
    432,002,726x = 902,762,713,115,827,584
  5. Step 5: Solve for x
    x = 902,762,713,115,827,584/432,002,726
  6. Step 6: Final answer
    x = 2,089,715,316.09

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.