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Finding the Third Proportional to 1,635,208,822 and 2,452,212,656

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Solution

The third proportional to 1,635,208,822 and 2,452,212,656 is: 3,677,418,339.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,635,208,822 : 2,452,212,656 = 2,452,212,656 : x
  2. Step 2: Convert to fraction form
    1,635,208,822/2,452,212,656 = 2,452,212,656/x
  3. Step 3: Cross multiply
    1,635,208,822x = 2,452,212,656 × 2,452,212,656
  4. Step 4: Simplify right side
    1,635,208,822x = 6,013,346,910,246,574,080
  5. Step 5: Solve for x
    x = 6,013,346,910,246,574,080/1,635,208,822
  6. Step 6: Final answer
    x = 3,677,418,339.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.