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Finding the Third Proportional to 53,531,590,196 and 80,987,001,663

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Solution

The third proportional to 53,531,590,196 and 80,987,001,663 is: 122,523,810,974.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,531,590,196 : 80,987,001,663 = 80,987,001,663 : x
  2. Step 2: Convert to fraction form
    53,531,590,196/80,987,001,663 = 80,987,001,663/x
  3. Step 3: Cross multiply
    53,531,590,196x = 80,987,001,663 × 80,987,001,663
  4. Step 4: Simplify right side
    53,531,590,196x = 6,558,894,438,362,765,066,240
  5. Step 5: Solve for x
    x = 6,558,894,438,362,765,066,240/53,531,590,196
  6. Step 6: Final answer
    x = 122,523,810,974.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.