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Finding the Third Proportional to 1,043,653,284 and 2,236,702,320

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Solution

The third proportional to 1,043,653,284 and 2,236,702,320 is: 4,793,581,685.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,043,653,284 : 2,236,702,320 = 2,236,702,320 : x
  2. Step 2: Convert to fraction form
    1,043,653,284/2,236,702,320 = 2,236,702,320/x
  3. Step 3: Cross multiply
    1,043,653,284x = 2,236,702,320 × 2,236,702,320
  4. Step 4: Simplify right side
    1,043,653,284x = 5,002,837,268,293,382,144
  5. Step 5: Solve for x
    x = 5,002,837,268,293,382,144/1,043,653,284
  6. Step 6: Final answer
    x = 4,793,581,685.59

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.