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Finding the Third Proportional to 2,266,065,728 and 4,876,505,728

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Solution

The third proportional to 2,266,065,728 and 4,876,505,728 is: 10,494,094,598.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,266,065,728 : 4,876,505,728 = 4,876,505,728 : x
  2. Step 2: Convert to fraction form
    2,266,065,728/4,876,505,728 = 4,876,505,728/x
  3. Step 3: Cross multiply
    2,266,065,728x = 4,876,505,728 × 4,876,505,728
  4. Step 4: Simplify right side
    2,266,065,728x = 23,780,308,115,216,809,984
  5. Step 5: Solve for x
    x = 23,780,308,115,216,809,984/2,266,065,728
  6. Step 6: Final answer
    x = 10,494,094,598.13

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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.