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Finding the Third Proportional to 513,915,849 and 761,541,025.50

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Solution

The third proportional to 513,915,849 and 761,541,025.50 is: 1,128,481,899.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,915,849 : 761,541,025.50 = 761,541,025.50 : x
  2. Step 2: Convert to fraction form
    513,915,849/761,541,025.50 = 761,541,025.50/x
  3. Step 3: Cross multiply
    513,915,849x = 761,541,025.50 × 761,541,025.50
  4. Step 4: Simplify right side
    513,915,849x = 579,944,733,519,591,680
  5. Step 5: Solve for x
    x = 579,944,733,519,591,680/513,915,849
  6. Step 6: Final answer
    x = 1,128,481,899.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.