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Finding the Third Proportional to 638,147,412 and 1,388,104,104

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Solution

The third proportional to 638,147,412 and 1,388,104,104 is: 3,019,416,779.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,147,412 : 1,388,104,104 = 1,388,104,104 : x
  2. Step 2: Convert to fraction form
    638,147,412/1,388,104,104 = 1,388,104,104/x
  3. Step 3: Cross multiply
    638,147,412x = 1,388,104,104 × 1,388,104,104
  4. Step 4: Simplify right side
    638,147,412x = 1,926,833,003,541,642,752
  5. Step 5: Solve for x
    x = 1,926,833,003,541,642,752/638,147,412
  6. Step 6: Final answer
    x = 3,019,416,779.43

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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.