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Finding the Third Proportional to 632,475,785,392.02 and 963,533,109,674.79

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Solution

The third proportional to 632,475,785,392.02 and 963,533,109,674.79 is: 1,467,876,043,450.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,475,785,392.02 : 963,533,109,674.79 = 963,533,109,674.79 : x
  2. Step 2: Convert to fraction form
    632,475,785,392.02/963,533,109,674.79 = 963,533,109,674.79/x
  3. Step 3: Cross multiply
    632,475,785,392.02x = 963,533,109,674.79 × 963,533,109,674.79
  4. Step 4: Simplify right side
    632,475,785,392.02x = 928,396,053,439,570,981,683,200
  5. Step 5: Solve for x
    x = 928,396,053,439,570,981,683,200/632,475,785,392.02
  6. Step 6: Final answer
    x = 1,467,876,043,450.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.