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Finding the Third Proportional to 445,190,264 and 615,168,804

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Solution

The third proportional to 445,190,264 and 615,168,804 is: 850,047,020.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,190,264 : 615,168,804 = 615,168,804 : x
  2. Step 2: Convert to fraction form
    445,190,264/615,168,804 = 615,168,804/x
  3. Step 3: Cross multiply
    445,190,264x = 615,168,804 × 615,168,804
  4. Step 4: Simplify right side
    445,190,264x = 378,432,657,414,790,400
  5. Step 5: Solve for x
    x = 378,432,657,414,790,400/445,190,264
  6. Step 6: Final answer
    x = 850,047,020.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.