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Finding the Third Proportional to 340,060,032 and 727,398,144

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Solution

The third proportional to 340,060,032 and 727,398,144 is: 1,555,925,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,060,032 : 727,398,144 = 727,398,144 : x
  2. Step 2: Convert to fraction form
    340,060,032/727,398,144 = 727,398,144/x
  3. Step 3: Cross multiply
    340,060,032x = 727,398,144 × 727,398,144
  4. Step 4: Simplify right side
    340,060,032x = 529,108,059,894,644,736
  5. Step 5: Solve for x
    x = 529,108,059,894,644,736/340,060,032
  6. Step 6: Final answer
    x = 1,555,925,454.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.