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Finding the Third Proportional to 27,646,296 and 61,428,696

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Solution

The third proportional to 27,646,296 and 61,428,696 is: 136,491,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,646,296 : 61,428,696 = 61,428,696 : x
  2. Step 2: Convert to fraction form
    27,646,296/61,428,696 = 61,428,696/x
  3. Step 3: Cross multiply
    27,646,296x = 61,428,696 × 61,428,696
  4. Step 4: Simplify right side
    27,646,296x = 3,773,484,692,260,416
  5. Step 5: Solve for x
    x = 3,773,484,692,260,416/27,646,296
  6. Step 6: Final answer
    x = 136,491,510.19

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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.