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Finding the Third Proportional to 1,643,080,464 and 3,653,530,272

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Solution

The third proportional to 1,643,080,464 and 3,653,530,272 is: 8,123,937,774.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643,080,464 : 3,653,530,272 = 3,653,530,272 : x
  2. Step 2: Convert to fraction form
    1,643,080,464/3,653,530,272 = 3,653,530,272/x
  3. Step 3: Cross multiply
    1,643,080,464x = 3,653,530,272 × 3,653,530,272
  4. Step 4: Simplify right side
    1,643,080,464x = 13,348,283,448,420,392,960
  5. Step 5: Solve for x
    x = 13,348,283,448,420,392,960/1,643,080,464
  6. Step 6: Final answer
    x = 8,123,937,774.74

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.