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Finding the Third Proportional to 56,117,643,531 and 122,114,254,422

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Solution

The third proportional to 56,117,643,531 and 122,114,254,422 is: 265,725,540,039.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,117,643,531 : 122,114,254,422 = 122,114,254,422 : x
  2. Step 2: Convert to fraction form
    56,117,643,531/122,114,254,422 = 122,114,254,422/x
  3. Step 3: Cross multiply
    56,117,643,531x = 122,114,254,422 × 122,114,254,422
  4. Step 4: Simplify right side
    56,117,643,531x = 14,911,891,133,040,947,101,696
  5. Step 5: Solve for x
    x = 14,911,891,133,040,947,101,696/56,117,643,531
  6. Step 6: Final answer
    x = 265,725,540,039.89

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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.