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Finding the Third Proportional to 536,932,080 and 829,135,224

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Solution

The third proportional to 536,932,080 and 829,135,224 is: 1,280,357,880.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,932,080 : 829,135,224 = 829,135,224 : x
  2. Step 2: Convert to fraction form
    536,932,080/829,135,224 = 829,135,224/x
  3. Step 3: Cross multiply
    536,932,080x = 829,135,224 × 829,135,224
  4. Step 4: Simplify right side
    536,932,080x = 687,465,219,677,530,112
  5. Step 5: Solve for x
    x = 687,465,219,677,530,112/536,932,080
  6. Step 6: Final answer
    x = 1,280,357,880.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.