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Finding the Third Proportional to 1,729,554,840 and 2,680,336,008

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Solution

The third proportional to 1,729,554,840 and 2,680,336,008 is: 4,153,786,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,554,840 : 2,680,336,008 = 2,680,336,008 : x
  2. Step 2: Convert to fraction form
    1,729,554,840/2,680,336,008 = 2,680,336,008/x
  3. Step 3: Cross multiply
    1,729,554,840x = 2,680,336,008 × 2,680,336,008
  4. Step 4: Simplify right side
    1,729,554,840x = 7,184,201,115,781,376,000
  5. Step 5: Solve for x
    x = 7,184,201,115,781,376,000/1,729,554,840
  6. Step 6: Final answer
    x = 4,153,786,251.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.