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Finding the Third Proportional to 61,091,447,235 and 131,519,569,737

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Solution

The third proportional to 61,091,447,235 and 131,519,569,737 is: 283,139,424,693.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,091,447,235 : 131,519,569,737 = 131,519,569,737 : x
  2. Step 2: Convert to fraction form
    61,091,447,235/131,519,569,737 = 131,519,569,737/x
  3. Step 3: Cross multiply
    61,091,447,235x = 131,519,569,737 × 131,519,569,737
  4. Step 4: Simplify right side
    61,091,447,235x = 17,297,397,223,805,606,166,528
  5. Step 5: Solve for x
    x = 17,297,397,223,805,606,166,528/61,091,447,235
  6. Step 6: Final answer
    x = 283,139,424,693.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.