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Finding the Third Proportional to 1,744,280,863 and 2,681,080,476

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Solution

The third proportional to 1,744,280,863 and 2,681,080,476 is: 4,121,006,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744,280,863 : 2,681,080,476 = 2,681,080,476 : x
  2. Step 2: Convert to fraction form
    1,744,280,863/2,681,080,476 = 2,681,080,476/x
  3. Step 3: Cross multiply
    1,744,280,863x = 2,681,080,476 × 2,681,080,476
  4. Step 4: Simplify right side
    1,744,280,863x = 7,188,192,518,788,386,816
  5. Step 5: Solve for x
    x = 7,188,192,518,788,386,816/1,744,280,863
  6. Step 6: Final answer
    x = 4,121,006,353.54

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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.