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Finding the Third Proportional to 395,115,807.94 and 878,573,268.56

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Solution

The third proportional to 395,115,807.94 and 878,573,268.56 is: 1,953,581,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,115,807.94 : 878,573,268.56 = 878,573,268.56 : x
  2. Step 2: Convert to fraction form
    395,115,807.94/878,573,268.56 = 878,573,268.56/x
  3. Step 3: Cross multiply
    395,115,807.94x = 878,573,268.56 × 878,573,268.56
  4. Step 4: Simplify right side
    395,115,807.94x = 771,890,988,232,594,688
  5. Step 5: Solve for x
    x = 771,890,988,232,594,688/395,115,807.94
  6. Step 6: Final answer
    x = 1,953,581,640.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.