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Finding the Third Proportional to 531,573,026 and 765,751,682.50

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Solution

The third proportional to 531,573,026 and 765,751,682.50 is: 1,103,095,173.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,573,026 : 765,751,682.50 = 765,751,682.50 : x
  2. Step 2: Convert to fraction form
    531,573,026/765,751,682.50 = 765,751,682.50/x
  3. Step 3: Cross multiply
    531,573,026x = 765,751,682.50 × 765,751,682.50
  4. Step 4: Simplify right side
    531,573,026x = 586,375,639,251,580,800
  5. Step 5: Solve for x
    x = 586,375,639,251,580,800/531,573,026
  6. Step 6: Final answer
    x = 1,103,095,173.33

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.