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Finding the Third Proportional to 1,424,336,481 and 2,151,388,431

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Solution

The third proportional to 1,424,336,481 and 2,151,388,431 is: 3,249,563,739.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,424,336,481 : 2,151,388,431 = 2,151,388,431 : x
  2. Step 2: Convert to fraction form
    1,424,336,481/2,151,388,431 = 2,151,388,431/x
  3. Step 3: Cross multiply
    1,424,336,481x = 2,151,388,431 × 2,151,388,431
  4. Step 4: Simplify right side
    1,424,336,481x = 4,628,472,181,040,642,048
  5. Step 5: Solve for x
    x = 4,628,472,181,040,642,048/1,424,336,481
  6. Step 6: Final answer
    x = 3,249,563,739.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.