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Finding the Third Proportional to 364,647,780 and 784,601,128

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Solution

The third proportional to 364,647,780 and 784,601,128 is: 1,688,201,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,647,780 : 784,601,128 = 784,601,128 : x
  2. Step 2: Convert to fraction form
    364,647,780/784,601,128 = 784,601,128/x
  3. Step 3: Cross multiply
    364,647,780x = 784,601,128 × 784,601,128
  4. Step 4: Simplify right side
    364,647,780x = 615,598,930,058,872,320
  5. Step 5: Solve for x
    x = 615,598,930,058,872,320/364,647,780
  6. Step 6: Final answer
    x = 1,688,201,502.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.