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Finding the Third Proportional to 13,608,900,268 and 21,348,329,606

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Solution

The third proportional to 13,608,900,268 and 21,348,329,606 is: 33,489,199,567.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,608,900,268 : 21,348,329,606 = 21,348,329,606 : x
  2. Step 2: Convert to fraction form
    13,608,900,268/21,348,329,606 = 21,348,329,606/x
  3. Step 3: Cross multiply
    13,608,900,268x = 21,348,329,606 × 21,348,329,606
  4. Step 4: Simplify right side
    13,608,900,268x = 455,751,176,966,416,105,472
  5. Step 5: Solve for x
    x = 455,751,176,966,416,105,472/13,608,900,268
  6. Step 6: Final answer
    x = 33,489,199,567.29

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.