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Finding the Third Proportional to 61,803,841,687 and 133,877,569,242

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Solution

The third proportional to 61,803,841,687 and 133,877,569,242 is: 290,001,447,432.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,803,841,687 : 133,877,569,242 = 133,877,569,242 : x
  2. Step 2: Convert to fraction form
    61,803,841,687/133,877,569,242 = 133,877,569,242/x
  3. Step 3: Cross multiply
    61,803,841,687x = 133,877,569,242 × 133,877,569,242
  4. Step 4: Simplify right side
    61,803,841,687x = 17,923,203,546,146,504,966,144
  5. Step 5: Solve for x
    x = 17,923,203,546,146,504,966,144/61,803,841,687
  6. Step 6: Final answer
    x = 290,001,447,432.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.