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Finding the Third Proportional to 53,295,918,718 and 118,508,044,197

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Solution

The third proportional to 53,295,918,718 and 118,508,044,197 is: 263,512,795,674.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,295,918,718 : 118,508,044,197 = 118,508,044,197 : x
  2. Step 2: Convert to fraction form
    53,295,918,718/118,508,044,197 = 118,508,044,197/x
  3. Step 3: Cross multiply
    53,295,918,718x = 118,508,044,197 × 118,508,044,197
  4. Step 4: Simplify right side
    53,295,918,718x = 14,044,156,539,398,105,595,904
  5. Step 5: Solve for x
    x = 14,044,156,539,398,105,595,904/53,295,918,718
  6. Step 6: Final answer
    x = 263,512,795,674.07

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.