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Finding the Third Proportional to 6,326,144,274 and 13,175,899,641

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Solution

The third proportional to 6,326,144,274 and 13,175,899,641 is: 27,442,360,437.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326,144,274 : 13,175,899,641 = 13,175,899,641 : x
  2. Step 2: Convert to fraction form
    6,326,144,274/13,175,899,641 = 13,175,899,641/x
  3. Step 3: Cross multiply
    6,326,144,274x = 13,175,899,641 × 13,175,899,641
  4. Step 4: Simplify right side
    6,326,144,274x = 173,604,331,349,703,917,568
  5. Step 5: Solve for x
    x = 173,604,331,349,703,917,568/6,326,144,274
  6. Step 6: Final answer
    x = 27,442,360,437.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.