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Finding the Third Proportional to 1,744,280,864 and 2,681,080,480

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Solution

The third proportional to 1,744,280,864 and 2,681,080,480 is: 4,121,006,363.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,280,864 : 2,681,080,480 = 2,681,080,480 : x
  2. Step 2: Convert to fraction form
    1,744,280,864/2,681,080,480 = 2,681,080,480/x
  3. Step 3: Cross multiply
    1,744,280,864x = 2,681,080,480 × 2,681,080,480
  4. Step 4: Simplify right side
    1,744,280,864x = 7,188,192,540,237,030,400
  5. Step 5: Solve for x
    x = 7,188,192,540,237,030,400/1,744,280,864
  6. Step 6: Final answer
    x = 4,121,006,363.48

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.