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Finding the Third Proportional to 11,643,391,492 and 25,326,825,560

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Solution

The third proportional to 11,643,391,492 and 25,326,825,560 is: 55,091,172,824.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,643,391,492 : 25,326,825,560 = 25,326,825,560 : x
  2. Step 2: Convert to fraction form
    11,643,391,492/25,326,825,560 = 25,326,825,560/x
  3. Step 3: Cross multiply
    11,643,391,492x = 25,326,825,560 × 25,326,825,560
  4. Step 4: Simplify right side
    11,643,391,492x = 641,448,092,946,669,371,392
  5. Step 5: Solve for x
    x = 641,448,092,946,669,371,392/11,643,391,492
  6. Step 6: Final answer
    x = 55,091,172,824.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.