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Finding the Third Proportional to 215,623,782 and 352,056,928

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Solution

The third proportional to 215,623,782 and 352,056,928 is: 574,816,374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,623,782 : 352,056,928 = 352,056,928 : x
  2. Step 2: Convert to fraction form
    215,623,782/352,056,928 = 352,056,928/x
  3. Step 3: Cross multiply
    215,623,782x = 352,056,928 × 352,056,928
  4. Step 4: Simplify right side
    215,623,782x = 123,944,080,552,797,184
  5. Step 5: Solve for x
    x = 123,944,080,552,797,184/215,623,782
  6. Step 6: Final answer
    x = 574,816,374.16

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.