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Finding the Third Proportional to 638,146,998 and 1,388,103,642

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Solution

The third proportional to 638,146,998 and 1,388,103,642 is: 3,019,416,728.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,146,998 : 1,388,103,642 = 1,388,103,642 : x
  2. Step 2: Convert to fraction form
    638,146,998/1,388,103,642 = 1,388,103,642/x
  3. Step 3: Cross multiply
    638,146,998x = 1,388,103,642 × 1,388,103,642
  4. Step 4: Simplify right side
    638,146,998x = 1,926,831,720,933,664,256
  5. Step 5: Solve for x
    x = 1,926,831,720,933,664,256/638,146,998
  6. Step 6: Final answer
    x = 3,019,416,728.39

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Why These Related Problems?

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