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Finding the Third Proportional to 53,837,185,383 and 117,806,234,463

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Solution

The third proportional to 53,837,185,383 and 117,806,234,463 is: 257,782,957,627.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,837,185,383 : 117,806,234,463 = 117,806,234,463 : x
  2. Step 2: Convert to fraction form
    53,837,185,383/117,806,234,463 = 117,806,234,463/x
  3. Step 3: Cross multiply
    53,837,185,383x = 117,806,234,463 × 117,806,234,463
  4. Step 4: Simplify right side
    53,837,185,383x = 13,878,308,878,351,329,132,544
  5. Step 5: Solve for x
    x = 13,878,308,878,351,329,132,544/53,837,185,383
  6. Step 6: Final answer
    x = 257,782,957,627.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.