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Finding the Third Proportional to 12,775,523,726 and 27,800,658,830

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Solution

The third proportional to 12,775,523,726 and 27,800,658,830 is: 60,496,669,096.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,775,523,726 : 27,800,658,830 = 27,800,658,830 : x
  2. Step 2: Convert to fraction form
    12,775,523,726/27,800,658,830 = 27,800,658,830/x
  3. Step 3: Cross multiply
    12,775,523,726x = 27,800,658,830 × 27,800,658,830
  4. Step 4: Simplify right side
    12,775,523,726x = 772,876,631,382,057,025,536
  5. Step 5: Solve for x
    x = 772,876,631,382,057,025,536/12,775,523,726
  6. Step 6: Final answer
    x = 60,496,669,096.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.